2(x-4)+2x=3(x+1)-4

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Solution for 2(x-4)+2x=3(x+1)-4 equation:


Simplifying
2(x + -4) + 2x = 3(x + 1) + -4

Reorder the terms:
2(-4 + x) + 2x = 3(x + 1) + -4
(-4 * 2 + x * 2) + 2x = 3(x + 1) + -4
(-8 + 2x) + 2x = 3(x + 1) + -4

Combine like terms: 2x + 2x = 4x
-8 + 4x = 3(x + 1) + -4

Reorder the terms:
-8 + 4x = 3(1 + x) + -4
-8 + 4x = (1 * 3 + x * 3) + -4
-8 + 4x = (3 + 3x) + -4

Reorder the terms:
-8 + 4x = 3 + -4 + 3x

Combine like terms: 3 + -4 = -1
-8 + 4x = -1 + 3x

Solving
-8 + 4x = -1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8 + 4x + -3x = -1 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-8 + 1x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 1x = -1 + 0
-8 + 1x = -1

Add '8' to each side of the equation.
-8 + 8 + 1x = -1 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = -1 + 8
1x = -1 + 8

Combine like terms: -1 + 8 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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