10(x-4)=5(2x-2)-30

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Solution for 10(x-4)=5(2x-2)-30 equation:


Simplifying
10(x + -4) = 5(2x + -2) + -30

Reorder the terms:
10(-4 + x) = 5(2x + -2) + -30
(-4 * 10 + x * 10) = 5(2x + -2) + -30
(-40 + 10x) = 5(2x + -2) + -30

Reorder the terms:
-40 + 10x = 5(-2 + 2x) + -30
-40 + 10x = (-2 * 5 + 2x * 5) + -30
-40 + 10x = (-10 + 10x) + -30

Reorder the terms:
-40 + 10x = -10 + -30 + 10x

Combine like terms: -10 + -30 = -40
-40 + 10x = -40 + 10x

Add '40' to each side of the equation.
-40 + 40 + 10x = -40 + 40 + 10x

Combine like terms: -40 + 40 = 0
0 + 10x = -40 + 40 + 10x
10x = -40 + 40 + 10x

Combine like terms: -40 + 40 = 0
10x = 0 + 10x
10x = 10x

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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