3(x-1)+2=5x+3

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Solution for 3(x-1)+2=5x+3 equation:


Simplifying
3(x + -1) + 2 = 5x + 3

Reorder the terms:
3(-1 + x) + 2 = 5x + 3
(-1 * 3 + x * 3) + 2 = 5x + 3
(-3 + 3x) + 2 = 5x + 3

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

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

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

Solving
-1 + 3x = 3 + 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.
-1 + 3x + -5x = 3 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-1 + -2x = 3 + 0
-1 + -2x = 3

Add '1' to each side of the equation.
-1 + 1 + -2x = 3 + 1

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

Combine like terms: 3 + 1 = 4
-2x = 4

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

Simplifying
x = -2

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