5x-4(x-4)=2x-3(x-6)

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Solution for 5x-4(x-4)=2x-3(x-6) equation: 


Simplifying
5x + -4(x + -4) = 2x + -3(x + -6)

Reorder the terms:
5x + -4(-4 + x) = 2x + -3(x + -6)
5x + (-4 * -4 + x * -4) = 2x + -3(x + -6)
5x + (16 + -4x) = 2x + -3(x + -6)

Reorder the terms:
16 + 5x + -4x = 2x + -3(x + -6)

Combine like terms: 5x + -4x = 1x
16 + 1x = 2x + -3(x + -6)

Reorder the terms:
16 + 1x = 2x + -3(-6 + x)
16 + 1x = 2x + (-6 * -3 + x * -3)
16 + 1x = 2x + (18 + -3x)

Reorder the terms:
16 + 1x = 18 + 2x + -3x

Combine like terms: 2x + -3x = -1x
16 + 1x = 18 + -1x

Solving
16 + 1x = 18 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
16 + 1x + x = 18 + -1x + x

Combine like terms: 1x + x = 2x
16 + 2x = 18 + -1x + x

Combine like terms: -1x + x = 0
16 + 2x = 18 + 0
16 + 2x = 18

Add '-16' to each side of the equation.
16 + -16 + 2x = 18 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = 18 + -16
2x = 18 + -16

Combine like terms: 18 + -16 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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