5x-3(x-2)=10x+30

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Solution for 5x-3(x-2)=10x+30 equation:


Simplifying
5x + -3(x + -2) = 10x + 30

Reorder the terms:
5x + -3(-2 + x) = 10x + 30
5x + (-2 * -3 + x * -3) = 10x + 30
5x + (6 + -3x) = 10x + 30

Reorder the terms:
6 + 5x + -3x = 10x + 30

Combine like terms: 5x + -3x = 2x
6 + 2x = 10x + 30

Reorder the terms:
6 + 2x = 30 + 10x

Solving
6 + 2x = 30 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + 2x + -10x = 30 + 10x + -10x

Combine like terms: 2x + -10x = -8x
6 + -8x = 30 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -8x = 30 + 0
6 + -8x = 30

Add '-6' to each side of the equation.
6 + -6 + -8x = 30 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = 30 + -6
-8x = 30 + -6

Combine like terms: 30 + -6 = 24
-8x = 24

Divide each side by '-8'.
x = -3

Simplifying
x = -3

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