4(x-2)-(3-8x)=11x

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Solution for 4(x-2)-(3-8x)=11x equation:


Simplifying
4(x + -2) + -1(3 + -8x) = 11x

Reorder the terms:
4(-2 + x) + -1(3 + -8x) = 11x
(-2 * 4 + x * 4) + -1(3 + -8x) = 11x
(-8 + 4x) + -1(3 + -8x) = 11x
-8 + 4x + (3 * -1 + -8x * -1) = 11x
-8 + 4x + (-3 + 8x) = 11x

Reorder the terms:
-8 + -3 + 4x + 8x = 11x

Combine like terms: -8 + -3 = -11
-11 + 4x + 8x = 11x

Combine like terms: 4x + 8x = 12x
-11 + 12x = 11x

Solving
-11 + 12x = 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-11 + 12x + -11x = 11x + -11x

Combine like terms: 12x + -11x = 1x
-11 + 1x = 11x + -11x

Combine like terms: 11x + -11x = 0
-11 + 1x = 0

Add '11' to each side of the equation.
-11 + 11 + 1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 1x = 0 + 11
1x = 0 + 11

Combine like terms: 0 + 11 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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