CBSE Class 7 Mathematics Simple Equations Assignment Set 06

Question. Solve the equation \( x-4 = 5 \) , and verify the result.
Answer: \( x = 9 \)
Verification:
LHS \( = x - 4 = 9 - 4 = 5 \)
RHS \( = 5 \)
Since LHS = RHS, the result is verified.

Question. Solve the equation \( 2x+5 = x+10 \) , and verify the result.
Answer: \( x = 5 \)
Verification:
LHS \( = 2x + 5 = 2(5) + 5 = 10 + 5 = 15 \)
RHS \( = x + 10 = 5 + 10 = 15 \)
Since LHS = RHS, the result is verified.

Question. Solve the equation \( 4x = -12 \)
Answer: \( x = -3 \)

Question. Solve the equation for \( x \), \( 19x-13 = 9x+27 \), and verify the result.
Answer: \( x = 4 \)
Verification:
LHS \( = 19x - 13 = 19(4) - 13 = 76 - 13 = 63 \)
RHS \( = 9x + 27 = 9(4) + 27 = 36 + 27 = 63 \)
Since LHS = RHS, the result is verified.

Question. Solve the equation for \( x \), \( \frac{1}{3} (2x-1) = 7 \), and verify the result.
Answer: \( x = 11 \)
Verification:
LHS \( = \frac{1}{3}(2(11) - 1) = \frac{1}{3}(22 - 1) = \frac{1}{3}(21) = 7 \)
RHS \( = 7 \)
Since LHS = RHS, the result is verified.

Question. Solve the equation for \( x \), \( 3(x+2) - 2(x+5) = 7 \)
Answer: \( x = 11 \)

Question. Solve for \( x \): \( 7(x+5) = 63 \)
Answer: \( x = 4 \)

Question. Solve for \( x \), \( 5(2-3x) - 17(2x-5) = 16 \)
Answer: \( x = \frac{79}{49} \)

Question. Solve the Equation for \( x \): \( \frac{x+1}{2} - \frac{x-3}{3} = 5 \)
Answer: \( x = 21 \)

Question. Solve the equation for \( x \): \( \frac{x+5}{2} - 3 = 13 \)
Answer: \( x = 27 \)