8x-7(x-4)=8-7(x-9)

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Solution for 8x-7(x-4)=8-7(x-9) equation:


Simplifying
8x + -7(x + -4) = 8 + -7(x + -9)

Reorder the terms:
8x + -7(-4 + x) = 8 + -7(x + -9)
8x + (-4 * -7 + x * -7) = 8 + -7(x + -9)
8x + (28 + -7x) = 8 + -7(x + -9)

Reorder the terms:
28 + 8x + -7x = 8 + -7(x + -9)

Combine like terms: 8x + -7x = 1x
28 + 1x = 8 + -7(x + -9)

Reorder the terms:
28 + 1x = 8 + -7(-9 + x)
28 + 1x = 8 + (-9 * -7 + x * -7)
28 + 1x = 8 + (63 + -7x)

Combine like terms: 8 + 63 = 71
28 + 1x = 71 + -7x

Solving
28 + 1x = 71 + -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.
28 + 1x + 7x = 71 + -7x + 7x

Combine like terms: 1x + 7x = 8x
28 + 8x = 71 + -7x + 7x

Combine like terms: -7x + 7x = 0
28 + 8x = 71 + 0
28 + 8x = 71

Add '-28' to each side of the equation.
28 + -28 + 8x = 71 + -28

Combine like terms: 28 + -28 = 0
0 + 8x = 71 + -28
8x = 71 + -28

Combine like terms: 71 + -28 = 43
8x = 43

Divide each side by '8'.
x = 5.375

Simplifying
x = 5.375

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