10(x-4)=-2x+80

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Solution for 10(x-4)=-2x+80 equation:


Simplifying
10(x + -4) = -2x + 80

Reorder the terms:
10(-4 + x) = -2x + 80
(-4 * 10 + x * 10) = -2x + 80
(-40 + 10x) = -2x + 80

Reorder the terms:
-40 + 10x = 80 + -2x

Solving
-40 + 10x = 80 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-40 + 10x + 2x = 80 + -2x + 2x

Combine like terms: 10x + 2x = 12x
-40 + 12x = 80 + -2x + 2x

Combine like terms: -2x + 2x = 0
-40 + 12x = 80 + 0
-40 + 12x = 80

Add '40' to each side of the equation.
-40 + 40 + 12x = 80 + 40

Combine like terms: -40 + 40 = 0
0 + 12x = 80 + 40
12x = 80 + 40

Combine like terms: 80 + 40 = 120
12x = 120

Divide each side by '12'.
x = 10

Simplifying
x = 10

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