10(x-1)=8x-2

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Solution for 10(x-1)=8x-2 equation:


Simplifying
10(x + -1) = 8x + -2

Reorder the terms:
10(-1 + x) = 8x + -2
(-1 * 10 + x * 10) = 8x + -2
(-10 + 10x) = 8x + -2

Reorder the terms:
-10 + 10x = -2 + 8x

Solving
-10 + 10x = -2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-10 + 10x + -8x = -2 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
-10 + 2x = -2 + 0
-10 + 2x = -2

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

Combine like terms: -10 + 10 = 0
0 + 2x = -2 + 10
2x = -2 + 10

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

Divide each side by '2'.
x = 4

Simplifying
x = 4

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