3(x-4)-14=2(x-7)+8

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Solution for 3(x-4)-14=2(x-7)+8 equation:


Simplifying
3(x + -4) + -14 = 2(x + -7) + 8

Reorder the terms:
3(-4 + x) + -14 = 2(x + -7) + 8
(-4 * 3 + x * 3) + -14 = 2(x + -7) + 8
(-12 + 3x) + -14 = 2(x + -7) + 8

Reorder the terms:
-12 + -14 + 3x = 2(x + -7) + 8

Combine like terms: -12 + -14 = -26
-26 + 3x = 2(x + -7) + 8

Reorder the terms:
-26 + 3x = 2(-7 + x) + 8
-26 + 3x = (-7 * 2 + x * 2) + 8
-26 + 3x = (-14 + 2x) + 8

Reorder the terms:
-26 + 3x = -14 + 8 + 2x

Combine like terms: -14 + 8 = -6
-26 + 3x = -6 + 2x

Solving
-26 + 3x = -6 + 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.
-26 + 3x + -2x = -6 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-26 + 1x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-26 + 1x = -6 + 0
-26 + 1x = -6

Add '26' to each side of the equation.
-26 + 26 + 1x = -6 + 26

Combine like terms: -26 + 26 = 0
0 + 1x = -6 + 26
1x = -6 + 26

Combine like terms: -6 + 26 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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