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

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


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

Reorder the terms:
8(4 + x) = 2x + -5(4 + -1x) + -7
(4 * 8 + x * 8) = 2x + -5(4 + -1x) + -7
(32 + 8x) = 2x + -5(4 + -1x) + -7
32 + 8x = 2x + (4 * -5 + -1x * -5) + -7
32 + 8x = 2x + (-20 + 5x) + -7

Reorder the terms:
32 + 8x = -20 + -7 + 2x + 5x

Combine like terms: -20 + -7 = -27
32 + 8x = -27 + 2x + 5x

Combine like terms: 2x + 5x = 7x
32 + 8x = -27 + 7x

Solving
32 + 8x = -27 + 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 = -27 + 7x + -7x

Combine like terms: 8x + -7x = 1x
32 + 1x = -27 + 7x + -7x

Combine like terms: 7x + -7x = 0
32 + 1x = -27 + 0
32 + 1x = -27

Add '-32' to each side of the equation.
32 + -32 + 1x = -27 + -32

Combine like terms: 32 + -32 = 0
0 + 1x = -27 + -32
1x = -27 + -32

Combine like terms: -27 + -32 = -59
1x = -59

Divide each side by '1'.
x = -59

Simplifying
x = -59

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