2(x+3)+3x+7=3(x+1)

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Solution for 2(x+3)+3x+7=3(x+1) equation:


Simplifying
2(x + 3) + 3x + 7 = 3(x + 1)

Reorder the terms:
2(3 + x) + 3x + 7 = 3(x + 1)
(3 * 2 + x * 2) + 3x + 7 = 3(x + 1)
(6 + 2x) + 3x + 7 = 3(x + 1)

Reorder the terms:
6 + 7 + 2x + 3x = 3(x + 1)

Combine like terms: 6 + 7 = 13
13 + 2x + 3x = 3(x + 1)

Combine like terms: 2x + 3x = 5x
13 + 5x = 3(x + 1)

Reorder the terms:
13 + 5x = 3(1 + x)
13 + 5x = (1 * 3 + x * 3)
13 + 5x = (3 + 3x)

Solving
13 + 5x = 3 + 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.
13 + 5x + -3x = 3 + 3x + -3x

Combine like terms: 5x + -3x = 2x
13 + 2x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
13 + 2x = 3 + 0
13 + 2x = 3

Add '-13' to each side of the equation.
13 + -13 + 2x = 3 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 3 + -13
2x = 3 + -13

Combine like terms: 3 + -13 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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