5+3(x-1)=5x-6

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Solution for 5+3(x-1)=5x-6 equation:


Simplifying
5 + 3(x + -1) = 5x + -6

Reorder the terms:
5 + 3(-1 + x) = 5x + -6
5 + (-1 * 3 + x * 3) = 5x + -6
5 + (-3 + 3x) = 5x + -6

Combine like terms: 5 + -3 = 2
2 + 3x = 5x + -6

Reorder the terms:
2 + 3x = -6 + 5x

Solving
2 + 3x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + 3x + -5x = -6 + 5x + -5x

Combine like terms: 3x + -5x = -2x
2 + -2x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -2x = -6 + 0
2 + -2x = -6

Add '-2' to each side of the equation.
2 + -2 + -2x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = -6 + -2
-2x = -6 + -2

Combine like terms: -6 + -2 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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