10(x-8)=2(x-2)

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


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

Reorder the terms:
10(-8 + x) = 2(x + -2)
(-8 * 10 + x * 10) = 2(x + -2)
(-80 + 10x) = 2(x + -2)

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

Solving
-80 + 10x = -4 + 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.
-80 + 10x + -2x = -4 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-80 + 8x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-80 + 8x = -4 + 0
-80 + 8x = -4

Add '80' to each side of the equation.
-80 + 80 + 8x = -4 + 80

Combine like terms: -80 + 80 = 0
0 + 8x = -4 + 80
8x = -4 + 80

Combine like terms: -4 + 80 = 76
8x = 76

Divide each side by '8'.
x = 9.5

Simplifying
x = 9.5

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