5(x-3)-(x-1)=-14

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Solution for 5(x-3)-(x-1)=-14 equation:


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

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

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

Reorder the terms:
-15 + 1 + 5x + -1x = -14

Combine like terms: -15 + 1 = -14
-14 + 5x + -1x = -14

Combine like terms: 5x + -1x = 4x
-14 + 4x = -14

Add '14' to each side of the equation.
-14 + 14 + 4x = -14 + 14

Combine like terms: -14 + 14 = 0
0 + 4x = -14 + 14
4x = -14 + 14

Combine like terms: -14 + 14 = 0
4x = 0

Solving
4x = 0

Solving for variable 'x'.

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

Divide each side by '4'.
x = 0

Simplifying
x = 0

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