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

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


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

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

Combine like terms: 3x + -7x = -4x
-12 + -4x = 13 + x

Solving
-12 + -4x = 13 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-12 + -4x + -1x = 13 + x + -1x

Combine like terms: -4x + -1x = -5x
-12 + -5x = 13 + x + -1x

Combine like terms: x + -1x = 0
-12 + -5x = 13 + 0
-12 + -5x = 13

Add '12' to each side of the equation.
-12 + 12 + -5x = 13 + 12

Combine like terms: -12 + 12 = 0
0 + -5x = 13 + 12
-5x = 13 + 12

Combine like terms: 13 + 12 = 25
-5x = 25

Divide each side by '-5'.
x = -5

Simplifying
x = -5

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