4(2x+7)-11=5(3x-2)+20

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Solution for 4(2x+7)-11=5(3x-2)+20 equation: 


Simplifying
4(2x + 7) + -11 = 5(3x + -2) + 20

Reorder the terms:
4(7 + 2x) + -11 = 5(3x + -2) + 20
(7 * 4 + 2x * 4) + -11 = 5(3x + -2) + 20
(28 + 8x) + -11 = 5(3x + -2) + 20

Reorder the terms:
28 + -11 + 8x = 5(3x + -2) + 20

Combine like terms: 28 + -11 = 17
17 + 8x = 5(3x + -2) + 20

Reorder the terms:
17 + 8x = 5(-2 + 3x) + 20
17 + 8x = (-2 * 5 + 3x * 5) + 20
17 + 8x = (-10 + 15x) + 20

Reorder the terms:
17 + 8x = -10 + 20 + 15x

Combine like terms: -10 + 20 = 10
17 + 8x = 10 + 15x

Solving
17 + 8x = 10 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
17 + 8x + -15x = 10 + 15x + -15x

Combine like terms: 8x + -15x = -7x
17 + -7x = 10 + 15x + -15x

Combine like terms: 15x + -15x = 0
17 + -7x = 10 + 0
17 + -7x = 10

Add '-17' to each side of the equation.
17 + -17 + -7x = 10 + -17

Combine like terms: 17 + -17 = 0
0 + -7x = 10 + -17
-7x = 10 + -17

Combine like terms: 10 + -17 = -7
-7x = -7

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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