8x+5(1-x)=4x-6

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Solution for 8x+5(1-x)=4x-6 equation:


Simplifying
8x + 5(1 + -1x) = 4x + -6
8x + (1 * 5 + -1x * 5) = 4x + -6
8x + (5 + -5x) = 4x + -6

Reorder the terms:
5 + 8x + -5x = 4x + -6

Combine like terms: 8x + -5x = 3x
5 + 3x = 4x + -6

Reorder the terms:
5 + 3x = -6 + 4x

Solving
5 + 3x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + 3x + -4x = -6 + 4x + -4x

Combine like terms: 3x + -4x = -1x
5 + -1x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -1x = -6 + 0
5 + -1x = -6

Add '-5' to each side of the equation.
5 + -5 + -1x = -6 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = -6 + -5
-1x = -6 + -5

Combine like terms: -6 + -5 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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