102=-8x-10(x-3)

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Solution for 102=-8x-10(x-3) equation:


Simplifying
102 = -8x + -10(x + -3)

Reorder the terms:
102 = -8x + -10(-3 + x)
102 = -8x + (-3 * -10 + x * -10)
102 = -8x + (30 + -10x)

Reorder the terms:
102 = 30 + -8x + -10x

Combine like terms: -8x + -10x = -18x
102 = 30 + -18x

Solving
102 = 30 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
102 + 18x = 30 + -18x + 18x

Combine like terms: -18x + 18x = 0
102 + 18x = 30 + 0
102 + 18x = 30

Add '-102' to each side of the equation.
102 + -102 + 18x = 30 + -102

Combine like terms: 102 + -102 = 0
0 + 18x = 30 + -102
18x = 30 + -102

Combine like terms: 30 + -102 = -72
18x = -72

Divide each side by '18'.
x = -4

Simplifying
x = -4

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