10-2(x+1)=4x-2(x-2)

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Solution for 10-2(x+1)=4x-2(x-2) equation: 


Simplifying
10 + -2(x + 1) = 4x + -2(x + -2)

Reorder the terms:
10 + -2(1 + x) = 4x + -2(x + -2)
10 + (1 * -2 + x * -2) = 4x + -2(x + -2)
10 + (-2 + -2x) = 4x + -2(x + -2)

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

Reorder the terms:
8 + -2x = 4x + -2(-2 + x)
8 + -2x = 4x + (-2 * -2 + x * -2)
8 + -2x = 4x + (4 + -2x)

Reorder the terms:
8 + -2x = 4 + 4x + -2x

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

Solving
8 + -2x = 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.
8 + -2x + -2x = 4 + 2x + -2x

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

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

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

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

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

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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