2x-8=3(x-7)

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


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

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

Reorder the terms:
-8 + 2x = 3(-7 + x)
-8 + 2x = (-7 * 3 + x * 3)
-8 + 2x = (-21 + 3x)

Solving
-8 + 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.
-8 + 2x + -3x = -21 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-8 + -1x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + -1x = -21 + 0
-8 + -1x = -21

Add '8' to each side of the equation.
-8 + 8 + -1x = -21 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = -21 + 8
-1x = -21 + 8

Combine like terms: -21 + 8 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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