5(x-4)=10x-30

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Solution for 5(x-4)=10x-30 equation:


Simplifying
5(x + -4) = 10x + -30

Reorder the terms:
5(-4 + x) = 10x + -30
(-4 * 5 + x * 5) = 10x + -30
(-20 + 5x) = 10x + -30

Reorder the terms:
-20 + 5x = -30 + 10x

Solving
-20 + 5x = -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.
-20 + 5x + -10x = -30 + 10x + -10x

Combine like terms: 5x + -10x = -5x
-20 + -5x = -30 + 10x + -10x

Combine like terms: 10x + -10x = 0
-20 + -5x = -30 + 0
-20 + -5x = -30

Add '20' to each side of the equation.
-20 + 20 + -5x = -30 + 20

Combine like terms: -20 + 20 = 0
0 + -5x = -30 + 20
-5x = -30 + 20

Combine like terms: -30 + 20 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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