5x-4(x-3)=8+2x

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Solution for 5x-4(x-3)=8+2x equation:


Simplifying
5x + -4(x + -3) = 8 + 2x

Reorder the terms:
5x + -4(-3 + x) = 8 + 2x
5x + (-3 * -4 + x * -4) = 8 + 2x
5x + (12 + -4x) = 8 + 2x

Reorder the terms:
12 + 5x + -4x = 8 + 2x

Combine like terms: 5x + -4x = 1x
12 + 1x = 8 + 2x

Solving
12 + 1x = 8 + 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.
12 + 1x + -2x = 8 + 2x + -2x

Combine like terms: 1x + -2x = -1x
12 + -1x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + -1x = 8 + 0
12 + -1x = 8

Add '-12' to each side of the equation.
12 + -12 + -1x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 8 + -12
-1x = 8 + -12

Combine like terms: 8 + -12 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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