(-5x+3)+2x+4=x+13

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Solution for (-5x+3)+2x+4=x+13 equation:


Simplifying
(-5x + 3) + 2x + 4 = x + 13

Reorder the terms:
(3 + -5x) + 2x + 4 = x + 13

Remove parenthesis around (3 + -5x)
3 + -5x + 2x + 4 = x + 13

Reorder the terms:
3 + 4 + -5x + 2x = x + 13

Combine like terms: 3 + 4 = 7
7 + -5x + 2x = x + 13

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

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

Solving
7 + -3x = 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.
7 + -3x + -1x = 13 + x + -1x

Combine like terms: -3x + -1x = -4x
7 + -4x = 13 + x + -1x

Combine like terms: x + -1x = 0
7 + -4x = 13 + 0
7 + -4x = 13

Add '-7' to each side of the equation.
7 + -7 + -4x = 13 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 13 + -7
-4x = 13 + -7

Combine like terms: 13 + -7 = 6
-4x = 6

Divide each side by '-4'.
x = -1.5

Simplifying
x = -1.5

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