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

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


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

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

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

Combine like terms: 3 + -4 = -1
-1 + 3x + 2x = 3x + 5

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

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

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

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

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

Add '1' to each side of the equation.
-1 + 1 + 2x = 5 + 1

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

Combine like terms: 5 + 1 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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