4(2x+8)=-7(-x+5)

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Solution for 4(2x+8)=-7(-x+5) equation:


Simplifying
4(2x + 8) = -7(-1x + 5)

Reorder the terms:
4(8 + 2x) = -7(-1x + 5)
(8 * 4 + 2x * 4) = -7(-1x + 5)
(32 + 8x) = -7(-1x + 5)

Reorder the terms:
32 + 8x = -7(5 + -1x)
32 + 8x = (5 * -7 + -1x * -7)
32 + 8x = (-35 + 7x)

Solving
32 + 8x = -35 + 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.
32 + 8x + -7x = -35 + 7x + -7x

Combine like terms: 8x + -7x = 1x
32 + 1x = -35 + 7x + -7x

Combine like terms: 7x + -7x = 0
32 + 1x = -35 + 0
32 + 1x = -35

Add '-32' to each side of the equation.
32 + -32 + 1x = -35 + -32

Combine like terms: 32 + -32 = 0
0 + 1x = -35 + -32
1x = -35 + -32

Combine like terms: -35 + -32 = -67
1x = -67

Divide each side by '1'.
x = -67

Simplifying
x = -67

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