8(x+8)-3(x+4)=7(2-x)

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Solution for 8(x+8)-3(x+4)=7(2-x) equation:


Simplifying
8(x + 8) + -3(x + 4) = 7(2 + -1x)

Reorder the terms:
8(8 + x) + -3(x + 4) = 7(2 + -1x)
(8 * 8 + x * 8) + -3(x + 4) = 7(2 + -1x)
(64 + 8x) + -3(x + 4) = 7(2 + -1x)

Reorder the terms:
64 + 8x + -3(4 + x) = 7(2 + -1x)
64 + 8x + (4 * -3 + x * -3) = 7(2 + -1x)
64 + 8x + (-12 + -3x) = 7(2 + -1x)

Reorder the terms:
64 + -12 + 8x + -3x = 7(2 + -1x)

Combine like terms: 64 + -12 = 52
52 + 8x + -3x = 7(2 + -1x)

Combine like terms: 8x + -3x = 5x
52 + 5x = 7(2 + -1x)
52 + 5x = (2 * 7 + -1x * 7)
52 + 5x = (14 + -7x)

Solving
52 + 5x = 14 + -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.
52 + 5x + 7x = 14 + -7x + 7x

Combine like terms: 5x + 7x = 12x
52 + 12x = 14 + -7x + 7x

Combine like terms: -7x + 7x = 0
52 + 12x = 14 + 0
52 + 12x = 14

Add '-52' to each side of the equation.
52 + -52 + 12x = 14 + -52

Combine like terms: 52 + -52 = 0
0 + 12x = 14 + -52
12x = 14 + -52

Combine like terms: 14 + -52 = -38
12x = -38

Divide each side by '12'.
x = -3.166666667

Simplifying
x = -3.166666667

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