5(x-3)-(x-1)=-4

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Solution for 5(x-3)-(x-1)=-4 equation:


Simplifying
5(x + -3) + -1(x + -1) = -4

Reorder the terms:
5(-3 + x) + -1(x + -1) = -4
(-3 * 5 + x * 5) + -1(x + -1) = -4
(-15 + 5x) + -1(x + -1) = -4

Reorder the terms:
-15 + 5x + -1(-1 + x) = -4
-15 + 5x + (-1 * -1 + x * -1) = -4
-15 + 5x + (1 + -1x) = -4

Reorder the terms:
-15 + 1 + 5x + -1x = -4

Combine like terms: -15 + 1 = -14
-14 + 5x + -1x = -4

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

Solving
-14 + 4x = -4

Solving for variable 'x'.

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

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

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

Combine like terms: -4 + 14 = 10
4x = 10

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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