3(x-5)-14=2(x-8)+8

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Solution for 3(x-5)-14=2(x-8)+8 equation: 


Simplifying
3(x + -5) + -14 = 2(x + -8) + 8

Reorder the terms:
3(-5 + x) + -14 = 2(x + -8) + 8
(-5 * 3 + x * 3) + -14 = 2(x + -8) + 8
(-15 + 3x) + -14 = 2(x + -8) + 8

Reorder the terms:
-15 + -14 + 3x = 2(x + -8) + 8

Combine like terms: -15 + -14 = -29
-29 + 3x = 2(x + -8) + 8

Reorder the terms:
-29 + 3x = 2(-8 + x) + 8
-29 + 3x = (-8 * 2 + x * 2) + 8
-29 + 3x = (-16 + 2x) + 8

Reorder the terms:
-29 + 3x = -16 + 8 + 2x

Combine like terms: -16 + 8 = -8
-29 + 3x = -8 + 2x

Solving
-29 + 3x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-29 + 3x + -2x = -8 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-29 + 1x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-29 + 1x = -8 + 0
-29 + 1x = -8

Add '29' to each side of the equation.
-29 + 29 + 1x = -8 + 29

Combine like terms: -29 + 29 = 0
0 + 1x = -8 + 29
1x = -8 + 29

Combine like terms: -8 + 29 = 21
1x = 21

Divide each side by '1'.
x = 21

Simplifying
x = 21

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