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

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


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

Reorder the terms:
3(1 + 2x) + -5x = 2(x + 1) + -3
(1 * 3 + 2x * 3) + -5x = 2(x + 1) + -3
(3 + 6x) + -5x = 2(x + 1) + -3

Combine like terms: 6x + -5x = 1x
3 + 1x = 2(x + 1) + -3

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

Reorder the terms:
3 + 1x = 2 + -3 + 2x

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

Solving
3 + 1x = -1 + 2x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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