3(x-3)-14=2(x-7)+11

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Solution for 3(x-3)-14=2(x-7)+11 equation:


Simplifying
3(x + -3) + -14 = 2(x + -7) + 11

Reorder the terms:
3(-3 + x) + -14 = 2(x + -7) + 11
(-3 * 3 + x * 3) + -14 = 2(x + -7) + 11
(-9 + 3x) + -14 = 2(x + -7) + 11

Reorder the terms:
-9 + -14 + 3x = 2(x + -7) + 11

Combine like terms: -9 + -14 = -23
-23 + 3x = 2(x + -7) + 11

Reorder the terms:
-23 + 3x = 2(-7 + x) + 11
-23 + 3x = (-7 * 2 + x * 2) + 11
-23 + 3x = (-14 + 2x) + 11

Reorder the terms:
-23 + 3x = -14 + 11 + 2x

Combine like terms: -14 + 11 = -3
-23 + 3x = -3 + 2x

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

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

Combine like terms: 2x + -2x = 0
-23 + 1x = -3 + 0
-23 + 1x = -3

Add '23' to each side of the equation.
-23 + 23 + 1x = -3 + 23

Combine like terms: -23 + 23 = 0
0 + 1x = -3 + 23
1x = -3 + 23

Combine like terms: -3 + 23 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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