8+2(x-1)=10-5(x-7)

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Solution for 8+2(x-1)=10-5(x-7) equation:


Simplifying
8 + 2(x + -1) = 10 + -5(x + -7)

Reorder the terms:
8 + 2(-1 + x) = 10 + -5(x + -7)
8 + (-1 * 2 + x * 2) = 10 + -5(x + -7)
8 + (-2 + 2x) = 10 + -5(x + -7)

Combine like terms: 8 + -2 = 6
6 + 2x = 10 + -5(x + -7)

Reorder the terms:
6 + 2x = 10 + -5(-7 + x)
6 + 2x = 10 + (-7 * -5 + x * -5)
6 + 2x = 10 + (35 + -5x)

Combine like terms: 10 + 35 = 45
6 + 2x = 45 + -5x

Solving
6 + 2x = 45 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
6 + 2x + 5x = 45 + -5x + 5x

Combine like terms: 2x + 5x = 7x
6 + 7x = 45 + -5x + 5x

Combine like terms: -5x + 5x = 0
6 + 7x = 45 + 0
6 + 7x = 45

Add '-6' to each side of the equation.
6 + -6 + 7x = 45 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 45 + -6
7x = 45 + -6

Combine like terms: 45 + -6 = 39
7x = 39

Divide each side by '7'.
x = 5.571428571

Simplifying
x = 5.571428571

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