3(x-5)-(x-7)=14

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Solution for 3(x-5)-(x-7)=14 equation:


Simplifying
3(x + -5) + -1(x + -7) = 14

Reorder the terms:
3(-5 + x) + -1(x + -7) = 14
(-5 * 3 + x * 3) + -1(x + -7) = 14
(-15 + 3x) + -1(x + -7) = 14

Reorder the terms:
-15 + 3x + -1(-7 + x) = 14
-15 + 3x + (-7 * -1 + x * -1) = 14
-15 + 3x + (7 + -1x) = 14

Reorder the terms:
-15 + 7 + 3x + -1x = 14

Combine like terms: -15 + 7 = -8
-8 + 3x + -1x = 14

Combine like terms: 3x + -1x = 2x
-8 + 2x = 14

Solving
-8 + 2x = 14

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 2x = 14 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 14 + 8
2x = 14 + 8

Combine like terms: 14 + 8 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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