2x-5(x-3)=-7+5x-18

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Solution for 2x-5(x-3)=-7+5x-18 equation:


Simplifying
2x + -5(x + -3) = -7 + 5x + -18

Reorder the terms:
2x + -5(-3 + x) = -7 + 5x + -18
2x + (-3 * -5 + x * -5) = -7 + 5x + -18
2x + (15 + -5x) = -7 + 5x + -18

Reorder the terms:
15 + 2x + -5x = -7 + 5x + -18

Combine like terms: 2x + -5x = -3x
15 + -3x = -7 + 5x + -18

Reorder the terms:
15 + -3x = -7 + -18 + 5x

Combine like terms: -7 + -18 = -25
15 + -3x = -25 + 5x

Solving
15 + -3x = -25 + 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.
15 + -3x + -5x = -25 + 5x + -5x

Combine like terms: -3x + -5x = -8x
15 + -8x = -25 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + -8x = -25 + 0
15 + -8x = -25

Add '-15' to each side of the equation.
15 + -15 + -8x = -25 + -15

Combine like terms: 15 + -15 = 0
0 + -8x = -25 + -15
-8x = -25 + -15

Combine like terms: -25 + -15 = -40
-8x = -40

Divide each side by '-8'.
x = 5

Simplifying
x = 5

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