5x+5=5(3x-5)-10

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Solution for 5x+5=5(3x-5)-10 equation:


Simplifying
5x + 5 = 5(3x + -5) + -10

Reorder the terms:
5 + 5x = 5(3x + -5) + -10

Reorder the terms:
5 + 5x = 5(-5 + 3x) + -10
5 + 5x = (-5 * 5 + 3x * 5) + -10
5 + 5x = (-25 + 15x) + -10

Reorder the terms:
5 + 5x = -25 + -10 + 15x

Combine like terms: -25 + -10 = -35
5 + 5x = -35 + 15x

Solving
5 + 5x = -35 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
5 + 5x + -15x = -35 + 15x + -15x

Combine like terms: 5x + -15x = -10x
5 + -10x = -35 + 15x + -15x

Combine like terms: 15x + -15x = 0
5 + -10x = -35 + 0
5 + -10x = -35

Add '-5' to each side of the equation.
5 + -5 + -10x = -35 + -5

Combine like terms: 5 + -5 = 0
0 + -10x = -35 + -5
-10x = -35 + -5

Combine like terms: -35 + -5 = -40
-10x = -40

Divide each side by '-10'.
x = 4

Simplifying
x = 4

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