10x-(3x-8)=11(x-4)

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Solution for 10x-(3x-8)=11(x-4) equation:


Simplifying
10x + -1(3x + -8) = 11(x + -4)

Reorder the terms:
10x + -1(-8 + 3x) = 11(x + -4)
10x + (-8 * -1 + 3x * -1) = 11(x + -4)
10x + (8 + -3x) = 11(x + -4)

Reorder the terms:
8 + 10x + -3x = 11(x + -4)

Combine like terms: 10x + -3x = 7x
8 + 7x = 11(x + -4)

Reorder the terms:
8 + 7x = 11(-4 + x)
8 + 7x = (-4 * 11 + x * 11)
8 + 7x = (-44 + 11x)

Solving
8 + 7x = -44 + 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.
8 + 7x + -11x = -44 + 11x + -11x

Combine like terms: 7x + -11x = -4x
8 + -4x = -44 + 11x + -11x

Combine like terms: 11x + -11x = 0
8 + -4x = -44 + 0
8 + -4x = -44

Add '-8' to each side of the equation.
8 + -8 + -4x = -44 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = -44 + -8
-4x = -44 + -8

Combine like terms: -44 + -8 = -52
-4x = -52

Divide each side by '-4'.
x = 13

Simplifying
x = 13

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