10-2(2x+1)=4x-8

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Solution for 10-2(2x+1)=4x-8 equation:


Simplifying
10 + -2(2x + 1) = 4x + -8

Reorder the terms:
10 + -2(1 + 2x) = 4x + -8
10 + (1 * -2 + 2x * -2) = 4x + -8
10 + (-2 + -4x) = 4x + -8

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

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

Solving
8 + -4x = -8 + 4x

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: -8 + -8 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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