3(-5x+10)=2-8x

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Solution for 3(-5x+10)=2-8x equation:


Simplifying
3(-5x + 10) = 2 + -8x

Reorder the terms:
3(10 + -5x) = 2 + -8x
(10 * 3 + -5x * 3) = 2 + -8x
(30 + -15x) = 2 + -8x

Solving
30 + -15x = 2 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
30 + -15x + 8x = 2 + -8x + 8x

Combine like terms: -15x + 8x = -7x
30 + -7x = 2 + -8x + 8x

Combine like terms: -8x + 8x = 0
30 + -7x = 2 + 0
30 + -7x = 2

Add '-30' to each side of the equation.
30 + -30 + -7x = 2 + -30

Combine like terms: 30 + -30 = 0
0 + -7x = 2 + -30
-7x = 2 + -30

Combine like terms: 2 + -30 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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