5x-70=2(5-6x)-3x

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Solution for 5x-70=2(5-6x)-3x equation:


Simplifying
5x + -70 = 2(5 + -6x) + -3x

Reorder the terms:
-70 + 5x = 2(5 + -6x) + -3x
-70 + 5x = (5 * 2 + -6x * 2) + -3x
-70 + 5x = (10 + -12x) + -3x

Combine like terms: -12x + -3x = -15x
-70 + 5x = 10 + -15x

Solving
-70 + 5x = 10 + -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.
-70 + 5x + 15x = 10 + -15x + 15x

Combine like terms: 5x + 15x = 20x
-70 + 20x = 10 + -15x + 15x

Combine like terms: -15x + 15x = 0
-70 + 20x = 10 + 0
-70 + 20x = 10

Add '70' to each side of the equation.
-70 + 70 + 20x = 10 + 70

Combine like terms: -70 + 70 = 0
0 + 20x = 10 + 70
20x = 10 + 70

Combine like terms: 10 + 70 = 80
20x = 80

Divide each side by '20'.
x = 4

Simplifying
x = 4

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