3(x-3)-14=2(x-7)-9+8

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Solution for 3(x-3)-14=2(x-7)-9+8 equation:


Simplifying
3(x + -3) + -14 = 2(x + -7) + -9 + 8

Reorder the terms:
3(-3 + x) + -14 = 2(x + -7) + -9 + 8
(-3 * 3 + x * 3) + -14 = 2(x + -7) + -9 + 8
(-9 + 3x) + -14 = 2(x + -7) + -9 + 8

Reorder the terms:
-9 + -14 + 3x = 2(x + -7) + -9 + 8

Combine like terms: -9 + -14 = -23
-23 + 3x = 2(x + -7) + -9 + 8

Reorder the terms:
-23 + 3x = 2(-7 + x) + -9 + 8
-23 + 3x = (-7 * 2 + x * 2) + -9 + 8
-23 + 3x = (-14 + 2x) + -9 + 8

Reorder the terms:
-23 + 3x = -14 + -9 + 8 + 2x

Combine like terms: -14 + -9 = -23
-23 + 3x = -23 + 8 + 2x

Combine like terms: -23 + 8 = -15
-23 + 3x = -15 + 2x

Solving
-23 + 3x = -15 + 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.
-23 + 3x + -2x = -15 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-23 + 1x = -15 + 2x + -2x

Combine like terms: 2x + -2x = 0
-23 + 1x = -15 + 0
-23 + 1x = -15

Add '23' to each side of the equation.
-23 + 23 + 1x = -15 + 23

Combine like terms: -23 + 23 = 0
0 + 1x = -15 + 23
1x = -15 + 23

Combine like terms: -15 + 23 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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