4(-2x+1)=3-(x+5)

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Solution for 4(-2x+1)=3-(x+5) equation:


Simplifying
4(-2x + 1) = 3 + -1(x + 5)

Reorder the terms:
4(1 + -2x) = 3 + -1(x + 5)
(1 * 4 + -2x * 4) = 3 + -1(x + 5)
(4 + -8x) = 3 + -1(x + 5)

Reorder the terms:
4 + -8x = 3 + -1(5 + x)
4 + -8x = 3 + (5 * -1 + x * -1)
4 + -8x = 3 + (-5 + -1x)

Combine like terms: 3 + -5 = -2
4 + -8x = -2 + -1x

Solving
4 + -8x = -2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
4 + -8x + x = -2 + -1x + x

Combine like terms: -8x + x = -7x
4 + -7x = -2 + -1x + x

Combine like terms: -1x + x = 0
4 + -7x = -2 + 0
4 + -7x = -2

Add '-4' to each side of the equation.
4 + -4 + -7x = -2 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = -2 + -4
-7x = -2 + -4

Combine like terms: -2 + -4 = -6
-7x = -6

Divide each side by '-7'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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