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

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


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

Reorder the terms:
4(-10 + x) = -3(2 + -1x) + -1x
(-10 * 4 + x * 4) = -3(2 + -1x) + -1x
(-40 + 4x) = -3(2 + -1x) + -1x
-40 + 4x = (2 * -3 + -1x * -3) + -1x
-40 + 4x = (-6 + 3x) + -1x

Combine like terms: 3x + -1x = 2x
-40 + 4x = -6 + 2x

Solving
-40 + 4x = -6 + 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.
-40 + 4x + -2x = -6 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-40 + 2x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-40 + 2x = -6 + 0
-40 + 2x = -6

Add '40' to each side of the equation.
-40 + 40 + 2x = -6 + 40

Combine like terms: -40 + 40 = 0
0 + 2x = -6 + 40
2x = -6 + 40

Combine like terms: -6 + 40 = 34
2x = 34

Divide each side by '2'.
x = 17

Simplifying
x = 17

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