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

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


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

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

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

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

Combine like terms: -8 + 3 = -5
-5 + 2x + -3x = 4x + -1(-4 + 2x)

Combine like terms: 2x + -3x = -1x
-5 + -1x = 4x + -1(-4 + 2x)
-5 + -1x = 4x + (-4 * -1 + 2x * -1)
-5 + -1x = 4x + (4 + -2x)

Reorder the terms:
-5 + -1x = 4 + 4x + -2x

Combine like terms: 4x + -2x = 2x
-5 + -1x = 4 + 2x

Solving
-5 + -1x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-5 + -1x + -2x = 4 + 2x + -2x

Combine like terms: -1x + -2x = -3x
-5 + -3x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + -3x = 4 + 0
-5 + -3x = 4

Add '5' to each side of the equation.
-5 + 5 + -3x = 4 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = 4 + 5
-3x = 4 + 5

Combine like terms: 4 + 5 = 9
-3x = 9

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

Simplifying
x = -3

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