2x-14+3(x-1)=13

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Solution for 2x-14+3(x-1)=13 equation:


Simplifying
2x + -14 + 3(x + -1) = 13

Reorder the terms:
2x + -14 + 3(-1 + x) = 13
2x + -14 + (-1 * 3 + x * 3) = 13
2x + -14 + (-3 + 3x) = 13

Reorder the terms:
-14 + -3 + 2x + 3x = 13

Combine like terms: -14 + -3 = -17
-17 + 2x + 3x = 13

Combine like terms: 2x + 3x = 5x
-17 + 5x = 13

Solving
-17 + 5x = 13

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 5x = 13 + 17

Combine like terms: -17 + 17 = 0
0 + 5x = 13 + 17
5x = 13 + 17

Combine like terms: 13 + 17 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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