4x-(5x+1)=8x+2(x-4)

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Solution for 4x-(5x+1)=8x+2(x-4) equation:


Simplifying
4x + -1(5x + 1) = 8x + 2(x + -4)

Reorder the terms:
4x + -1(1 + 5x) = 8x + 2(x + -4)
4x + (1 * -1 + 5x * -1) = 8x + 2(x + -4)
4x + (-1 + -5x) = 8x + 2(x + -4)

Reorder the terms:
-1 + 4x + -5x = 8x + 2(x + -4)

Combine like terms: 4x + -5x = -1x
-1 + -1x = 8x + 2(x + -4)

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

Reorder the terms:
-1 + -1x = -8 + 8x + 2x

Combine like terms: 8x + 2x = 10x
-1 + -1x = -8 + 10x

Solving
-1 + -1x = -8 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-1 + -1x + -10x = -8 + 10x + -10x

Combine like terms: -1x + -10x = -11x
-1 + -11x = -8 + 10x + -10x

Combine like terms: 10x + -10x = 0
-1 + -11x = -8 + 0
-1 + -11x = -8

Add '1' to each side of the equation.
-1 + 1 + -11x = -8 + 1

Combine like terms: -1 + 1 = 0
0 + -11x = -8 + 1
-11x = -8 + 1

Combine like terms: -8 + 1 = -7
-11x = -7

Divide each side by '-11'.
x = 0.6363636364

Simplifying
x = 0.6363636364

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