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

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


Simplifying
10 + -2(3x + -4) = 3 + -1x

Reorder the terms:
10 + -2(-4 + 3x) = 3 + -1x
10 + (-4 * -2 + 3x * -2) = 3 + -1x
10 + (8 + -6x) = 3 + -1x

Combine like terms: 10 + 8 = 18
18 + -6x = 3 + -1x

Solving
18 + -6x = 3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
18 + -6x + x = 3 + -1x + x

Combine like terms: -6x + x = -5x
18 + -5x = 3 + -1x + x

Combine like terms: -1x + x = 0
18 + -5x = 3 + 0
18 + -5x = 3

Add '-18' to each side of the equation.
18 + -18 + -5x = 3 + -18

Combine like terms: 18 + -18 = 0
0 + -5x = 3 + -18
-5x = 3 + -18

Combine like terms: 3 + -18 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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