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

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


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

Reorder the terms:
8(2 + x) = 7(x + -4)
(2 * 8 + x * 8) = 7(x + -4)
(16 + 8x) = 7(x + -4)

Reorder the terms:
16 + 8x = 7(-4 + x)
16 + 8x = (-4 * 7 + x * 7)
16 + 8x = (-28 + 7x)

Solving
16 + 8x = -28 + 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.
16 + 8x + -7x = -28 + 7x + -7x

Combine like terms: 8x + -7x = 1x
16 + 1x = -28 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + 1x = -28 + 0
16 + 1x = -28

Add '-16' to each side of the equation.
16 + -16 + 1x = -28 + -16

Combine like terms: 16 + -16 = 0
0 + 1x = -28 + -16
1x = -28 + -16

Combine like terms: -28 + -16 = -44
1x = -44

Divide each side by '1'.
x = -44

Simplifying
x = -44

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