Question

solve the equations and verify the answer=97-5(x+20)=111-8(x+3)

Answer 1

Simplifying

111 + -8(x + 3) = 97 + -5(x + 20)

Reorder the terms:

111 + -8(3 + x) = 97 + -5(x + 20)

111 + (3 * -8 + x * -8) = 97 + -5(x + 20)

111 + (-24 + -8x) = 97 + -5(x + 20)

Combine like terms: 111 + -24 = 87

87 + -8x = 97 + -5(x + 20)

Reorder the terms:

87 + -8x = 97 + -5(20 + x)

87 + -8x = 97 + (20 * -5 + x * -5)

87 + -8x = 97 + (-100 + -5x)

Combine like terms: 97 + -100 = -3

87 + -8x = -3 + -5x

Solving

87 + -8x = -3 + -5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5x' to each side of the equation.

87 + -8x + 5x = -3 + -5x + 5x

Combine like terms: -8x + 5x = -3x

87 + -3x = -3 + -5x + 5x

Combine like terms: -5x + 5x = 0

87 + -3x = -3 + 0

87 + -3x = -3

Add '-87' to each side of the equation.

87 + -87 + -3x = -3 + -87

Combine like terms: 87 + -87 = 0

0 + -3x = -3 + -87

-3x = -3 + -87

Combine like terms: -3 + -87 = -90

-3x = -90

Divide each side by '-3'.

x = 30

Simplifying

x = 30

Answer 2

97-5 (x+20)=111-8 (x+3)
=92x+1940=103x+309
=1940-309=103x-92x
=1631=11x
=x=1631/11