3(x+2)-2(1-x)=4x+5

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Solution for 3(x+2)-2(1-x)=4x+5 equation: 


Simplifying
3(x + 2) + -2(1 + -1x) = 4x + 5

Reorder the terms:
3(2 + x) + -2(1 + -1x) = 4x + 5
(2 * 3 + x * 3) + -2(1 + -1x) = 4x + 5
(6 + 3x) + -2(1 + -1x) = 4x + 5
6 + 3x + (1 * -2 + -1x * -2) = 4x + 5
6 + 3x + (-2 + 2x) = 4x + 5

Reorder the terms:
6 + -2 + 3x + 2x = 4x + 5

Combine like terms: 6 + -2 = 4
4 + 3x + 2x = 4x + 5

Combine like terms: 3x + 2x = 5x
4 + 5x = 4x + 5

Reorder the terms:
4 + 5x = 5 + 4x

Solving
4 + 5x = 5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
4 + 5x + -4x = 5 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
4 + 1x = 5 + 0
4 + 1x = 5

Add '-4' to each side of the equation.
4 + -4 + 1x = 5 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 5 + -4
1x = 5 + -4

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

Divide each side by '1'.
x = 1

Simplifying
x = 1

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