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

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


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

Reorder the terms:
2(-8 + x) + -10 = 3(x + -7)
(-8 * 2 + x * 2) + -10 = 3(x + -7)
(-16 + 2x) + -10 = 3(x + -7)

Reorder the terms:
-16 + -10 + 2x = 3(x + -7)

Combine like terms: -16 + -10 = -26
-26 + 2x = 3(x + -7)

Reorder the terms:
-26 + 2x = 3(-7 + x)
-26 + 2x = (-7 * 3 + x * 3)
-26 + 2x = (-21 + 3x)

Solving
-26 + 2x = -21 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-26 + 2x + -3x = -21 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-26 + -1x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-26 + -1x = -21 + 0
-26 + -1x = -21

Add '26' to each side of the equation.
-26 + 26 + -1x = -21 + 26

Combine like terms: -26 + 26 = 0
0 + -1x = -21 + 26
-1x = -21 + 26

Combine like terms: -21 + 26 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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