4(x+5)-2x+2=3(2x-4)+x+9

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Solution for 4(x+5)-2x+2=3(2x-4)+x+9 equation:


Simplifying
4(x + 5) + -2x + 2 = 3(2x + -4) + x + 9

Reorder the terms:
4(5 + x) + -2x + 2 = 3(2x + -4) + x + 9
(5 * 4 + x * 4) + -2x + 2 = 3(2x + -4) + x + 9
(20 + 4x) + -2x + 2 = 3(2x + -4) + x + 9

Reorder the terms:
20 + 2 + 4x + -2x = 3(2x + -4) + x + 9

Combine like terms: 20 + 2 = 22
22 + 4x + -2x = 3(2x + -4) + x + 9

Combine like terms: 4x + -2x = 2x
22 + 2x = 3(2x + -4) + x + 9

Reorder the terms:
22 + 2x = 3(-4 + 2x) + x + 9
22 + 2x = (-4 * 3 + 2x * 3) + x + 9
22 + 2x = (-12 + 6x) + x + 9

Reorder the terms:
22 + 2x = -12 + 9 + 6x + x

Combine like terms: -12 + 9 = -3
22 + 2x = -3 + 6x + x

Combine like terms: 6x + x = 7x
22 + 2x = -3 + 7x

Solving
22 + 2x = -3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
22 + 2x + -7x = -3 + 7x + -7x

Combine like terms: 2x + -7x = -5x
22 + -5x = -3 + 7x + -7x

Combine like terms: 7x + -7x = 0
22 + -5x = -3 + 0
22 + -5x = -3

Add '-22' to each side of the equation.
22 + -22 + -5x = -3 + -22

Combine like terms: 22 + -22 = 0
0 + -5x = -3 + -22
-5x = -3 + -22

Combine like terms: -3 + -22 = -25
-5x = -25

Divide each side by '-5'.
x = 5

Simplifying
x = 5

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