8(x-9)+10=2(x-8)

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Solution for 8(x-9)+10=2(x-8) equation:


Simplifying
8(x + -9) + 10 = 2(x + -8)

Reorder the terms:
8(-9 + x) + 10 = 2(x + -8)
(-9 * 8 + x * 8) + 10 = 2(x + -8)
(-72 + 8x) + 10 = 2(x + -8)

Reorder the terms:
-72 + 10 + 8x = 2(x + -8)

Combine like terms: -72 + 10 = -62
-62 + 8x = 2(x + -8)

Reorder the terms:
-62 + 8x = 2(-8 + x)
-62 + 8x = (-8 * 2 + x * 2)
-62 + 8x = (-16 + 2x)

Solving
-62 + 8x = -16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-62 + 8x + -2x = -16 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-62 + 6x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-62 + 6x = -16 + 0
-62 + 6x = -16

Add '62' to each side of the equation.
-62 + 62 + 6x = -16 + 62

Combine like terms: -62 + 62 = 0
0 + 6x = -16 + 62
6x = -16 + 62

Combine like terms: -16 + 62 = 46
6x = 46

Divide each side by '6'.
x = 7.666666667

Simplifying
x = 7.666666667

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