5x+5=3(5x-4)+10x

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Solution for 5x+5=3(5x-4)+10x equation:


Simplifying
5x + 5 = 3(5x + -4) + 10x

Reorder the terms:
5 + 5x = 3(5x + -4) + 10x

Reorder the terms:
5 + 5x = 3(-4 + 5x) + 10x
5 + 5x = (-4 * 3 + 5x * 3) + 10x
5 + 5x = (-12 + 15x) + 10x

Combine like terms: 15x + 10x = 25x
5 + 5x = -12 + 25x

Solving
5 + 5x = -12 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
5 + 5x + -25x = -12 + 25x + -25x

Combine like terms: 5x + -25x = -20x
5 + -20x = -12 + 25x + -25x

Combine like terms: 25x + -25x = 0
5 + -20x = -12 + 0
5 + -20x = -12

Add '-5' to each side of the equation.
5 + -5 + -20x = -12 + -5

Combine like terms: 5 + -5 = 0
0 + -20x = -12 + -5
-20x = -12 + -5

Combine like terms: -12 + -5 = -17
-20x = -17

Divide each side by '-20'.
x = 0.85

Simplifying
x = 0.85

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