-2(x+5)-7=-x+13-5x

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Solution for -2(x+5)-7=-x+13-5x equation:


Simplifying
-2(x + 5) + -7 = -1x + 13 + -5x

Reorder the terms:
-2(5 + x) + -7 = -1x + 13 + -5x
(5 * -2 + x * -2) + -7 = -1x + 13 + -5x
(-10 + -2x) + -7 = -1x + 13 + -5x

Reorder the terms:
-10 + -7 + -2x = -1x + 13 + -5x

Combine like terms: -10 + -7 = -17
-17 + -2x = -1x + 13 + -5x

Reorder the terms:
-17 + -2x = 13 + -1x + -5x

Combine like terms: -1x + -5x = -6x
-17 + -2x = 13 + -6x

Solving
-17 + -2x = 13 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-17 + -2x + 6x = 13 + -6x + 6x

Combine like terms: -2x + 6x = 4x
-17 + 4x = 13 + -6x + 6x

Combine like terms: -6x + 6x = 0
-17 + 4x = 13 + 0
-17 + 4x = 13

Add '17' to each side of the equation.
-17 + 17 + 4x = 13 + 17

Combine like terms: -17 + 17 = 0
0 + 4x = 13 + 17
4x = 13 + 17

Combine like terms: 13 + 17 = 30
4x = 30

Divide each side by '4'.
x = 7.5

Simplifying
x = 7.5

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