5x-8=3x+7(2x-10)

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Solution for 5x-8=3x+7(2x-10) equation:


Simplifying
5x + -8 = 3x + 7(2x + -10)

Reorder the terms:
-8 + 5x = 3x + 7(2x + -10)

Reorder the terms:
-8 + 5x = 3x + 7(-10 + 2x)
-8 + 5x = 3x + (-10 * 7 + 2x * 7)
-8 + 5x = 3x + (-70 + 14x)

Reorder the terms:
-8 + 5x = -70 + 3x + 14x

Combine like terms: 3x + 14x = 17x
-8 + 5x = -70 + 17x

Solving
-8 + 5x = -70 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
-8 + 5x + -17x = -70 + 17x + -17x

Combine like terms: 5x + -17x = -12x
-8 + -12x = -70 + 17x + -17x

Combine like terms: 17x + -17x = 0
-8 + -12x = -70 + 0
-8 + -12x = -70

Add '8' to each side of the equation.
-8 + 8 + -12x = -70 + 8

Combine like terms: -8 + 8 = 0
0 + -12x = -70 + 8
-12x = -70 + 8

Combine like terms: -70 + 8 = -62
-12x = -62

Divide each side by '-12'.
x = 5.166666667

Simplifying
x = 5.166666667

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