5x-3(x-4)=-7+5x+13

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Solution for 5x-3(x-4)=-7+5x+13 equation:


Simplifying
5x + -3(x + -4) = -7 + 5x + 13

Reorder the terms:
5x + -3(-4 + x) = -7 + 5x + 13
5x + (-4 * -3 + x * -3) = -7 + 5x + 13
5x + (12 + -3x) = -7 + 5x + 13

Reorder the terms:
12 + 5x + -3x = -7 + 5x + 13

Combine like terms: 5x + -3x = 2x
12 + 2x = -7 + 5x + 13

Reorder the terms:
12 + 2x = -7 + 13 + 5x

Combine like terms: -7 + 13 = 6
12 + 2x = 6 + 5x

Solving
12 + 2x = 6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + 2x + -5x = 6 + 5x + -5x

Combine like terms: 2x + -5x = -3x
12 + -3x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -3x = 6 + 0
12 + -3x = 6

Add '-12' to each side of the equation.
12 + -12 + -3x = 6 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = 6 + -12
-3x = 6 + -12

Combine like terms: 6 + -12 = -6
-3x = -6

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

Simplifying
x = 2

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