7-(3x)=5x+13

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


Simplifying
7 + -1(3x) = 5x + 13

Remove parenthesis around (3x)
7 + -1 * 3x = 5x + 13

Multiply -1 * 3
7 + -3x = 5x + 13

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

Solving
7 + -3x = 13 + 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.
7 + -3x + -5x = 13 + 5x + -5x

Combine like terms: -3x + -5x = -8x
7 + -8x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
7 + -8x = 13 + 0
7 + -8x = 13

Add '-7' to each side of the equation.
7 + -7 + -8x = 13 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = 13 + -7
-8x = 13 + -7

Combine like terms: 13 + -7 = 6
-8x = 6

Divide each side by '-8'.
x = -0.75

Simplifying
x = -0.75

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