3(x-1)-2x+5=4(x-2)+4

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Solution for 3(x-1)-2x+5=4(x-2)+4 equation: 


Simplifying
3(x + -1) + -2x + 5 = 4(x + -2) + 4

Reorder the terms:
3(-1 + x) + -2x + 5 = 4(x + -2) + 4
(-1 * 3 + x * 3) + -2x + 5 = 4(x + -2) + 4
(-3 + 3x) + -2x + 5 = 4(x + -2) + 4

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

Combine like terms: -3 + 5 = 2
2 + 3x + -2x = 4(x + -2) + 4

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

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

Reorder the terms:
2 + 1x = -8 + 4 + 4x

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

Solving
2 + 1x = -4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + 1x + -4x = -4 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
2 + -3x = -4 + 0
2 + -3x = -4

Add '-2' to each side of the equation.
2 + -2 + -3x = -4 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -4 + -2
-3x = -4 + -2

Combine like terms: -4 + -2 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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