4(-2x+1)=-7(x+1)

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Solution for 4(-2x+1)=-7(x+1) equation:


Simplifying
4(-2x + 1) = -7(x + 1)

Reorder the terms:
4(1 + -2x) = -7(x + 1)
(1 * 4 + -2x * 4) = -7(x + 1)
(4 + -8x) = -7(x + 1)

Reorder the terms:
4 + -8x = -7(1 + x)
4 + -8x = (1 * -7 + x * -7)
4 + -8x = (-7 + -7x)

Solving
4 + -8x = -7 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
4 + -8x + 7x = -7 + -7x + 7x

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

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

Add '-4' to each side of the equation.
4 + -4 + -1x = -7 + -4

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

Combine like terms: -7 + -4 = -11
-1x = -11

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

Simplifying
x = 11

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