8x-(x-2)=-9(x-7)

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Solution for 8x-(x-2)=-9(x-7) equation: 


Simplifying
8x + -1(x + -2) = -9(x + -7)

Reorder the terms:
8x + -1(-2 + x) = -9(x + -7)
8x + (-2 * -1 + x * -1) = -9(x + -7)
8x + (2 + -1x) = -9(x + -7)

Reorder the terms:
2 + 8x + -1x = -9(x + -7)

Combine like terms: 8x + -1x = 7x
2 + 7x = -9(x + -7)

Reorder the terms:
2 + 7x = -9(-7 + x)
2 + 7x = (-7 * -9 + x * -9)
2 + 7x = (63 + -9x)

Solving
2 + 7x = 63 + -9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '9x' to each side of the equation.
2 + 7x + 9x = 63 + -9x + 9x

Combine like terms: 7x + 9x = 16x
2 + 16x = 63 + -9x + 9x

Combine like terms: -9x + 9x = 0
2 + 16x = 63 + 0
2 + 16x = 63

Add '-2' to each side of the equation.
2 + -2 + 16x = 63 + -2

Combine like terms: 2 + -2 = 0
0 + 16x = 63 + -2
16x = 63 + -2

Combine like terms: 63 + -2 = 61
16x = 61

Divide each side by '16'.
x = 3.8125

Simplifying
x = 3.8125

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