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

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


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

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

Reorder the terms:
-5 + -3 + 5x = 1 + 3x

Combine like terms: -5 + -3 = -8
-8 + 5x = 1 + 3x

Solving
-8 + 5x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8 + 5x + -3x = 1 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-8 + 2x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 2x = 1 + 0
-8 + 2x = 1

Add '8' to each side of the equation.
-8 + 8 + 2x = 1 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 1 + 8
2x = 1 + 8

Combine like terms: 1 + 8 = 9
2x = 9

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5

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