5x-4(x-1)=3(6+x)

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Solution for 5x-4(x-1)=3(6+x) equation:


Simplifying
5x + -4(x + -1) = 3(6 + x)

Reorder the terms:
5x + -4(-1 + x) = 3(6 + x)
5x + (-1 * -4 + x * -4) = 3(6 + x)
5x + (4 + -4x) = 3(6 + x)

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

Combine like terms: 5x + -4x = 1x
4 + 1x = 3(6 + x)
4 + 1x = (6 * 3 + x * 3)
4 + 1x = (18 + 3x)

Solving
4 + 1x = 18 + 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.
4 + 1x + -3x = 18 + 3x + -3x

Combine like terms: 1x + -3x = -2x
4 + -2x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -2x = 18 + 0
4 + -2x = 18

Add '-4' to each side of the equation.
4 + -4 + -2x = 18 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = 18 + -4
-2x = 18 + -4

Combine like terms: 18 + -4 = 14
-2x = 14

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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