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

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


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

Reorder the terms:
2(3 + 2x) + 3x + 7 = 3(3x + 1)
(3 * 2 + 2x * 2) + 3x + 7 = 3(3x + 1)
(6 + 4x) + 3x + 7 = 3(3x + 1)

Reorder the terms:
6 + 7 + 4x + 3x = 3(3x + 1)

Combine like terms: 6 + 7 = 13
13 + 4x + 3x = 3(3x + 1)

Combine like terms: 4x + 3x = 7x
13 + 7x = 3(3x + 1)

Reorder the terms:
13 + 7x = 3(1 + 3x)
13 + 7x = (1 * 3 + 3x * 3)
13 + 7x = (3 + 9x)

Solving
13 + 7x = 3 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
13 + 7x + -9x = 3 + 9x + -9x

Combine like terms: 7x + -9x = -2x
13 + -2x = 3 + 9x + -9x

Combine like terms: 9x + -9x = 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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