4x-2(4-3x)=10+x

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Solution for 4x-2(4-3x)=10+x equation:


Simplifying
4x + -2(4 + -3x) = 10 + x
4x + (4 * -2 + -3x * -2) = 10 + x
4x + (-8 + 6x) = 10 + x

Reorder the terms:
-8 + 4x + 6x = 10 + x

Combine like terms: 4x + 6x = 10x
-8 + 10x = 10 + x

Solving
-8 + 10x = 10 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-8 + 10x + -1x = 10 + x + -1x

Combine like terms: 10x + -1x = 9x
-8 + 9x = 10 + x + -1x

Combine like terms: x + -1x = 0
-8 + 9x = 10 + 0
-8 + 9x = 10

Add '8' to each side of the equation.
-8 + 8 + 9x = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 9x = 10 + 8
9x = 10 + 8

Combine like terms: 10 + 8 = 18
9x = 18

Divide each side by '9'.
x = 2

Simplifying
x = 2

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