3(3x+1)-2(x-3)=5(x+7)

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Solution for 3(3x+1)-2(x-3)=5(x+7) equation:


Simplifying
3(3x + 1) + -2(x + -3) = 5(x + 7)

Reorder the terms:
3(1 + 3x) + -2(x + -3) = 5(x + 7)
(1 * 3 + 3x * 3) + -2(x + -3) = 5(x + 7)
(3 + 9x) + -2(x + -3) = 5(x + 7)

Reorder the terms:
3 + 9x + -2(-3 + x) = 5(x + 7)
3 + 9x + (-3 * -2 + x * -2) = 5(x + 7)
3 + 9x + (6 + -2x) = 5(x + 7)

Reorder the terms:
3 + 6 + 9x + -2x = 5(x + 7)

Combine like terms: 3 + 6 = 9
9 + 9x + -2x = 5(x + 7)

Combine like terms: 9x + -2x = 7x
9 + 7x = 5(x + 7)

Reorder the terms:
9 + 7x = 5(7 + x)
9 + 7x = (7 * 5 + x * 5)
9 + 7x = (35 + 5x)

Solving
9 + 7x = 35 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
9 + 7x + -5x = 35 + 5x + -5x

Combine like terms: 7x + -5x = 2x
9 + 2x = 35 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + 2x = 35 + 0
9 + 2x = 35

Add '-9' to each side of the equation.
9 + -9 + 2x = 35 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 35 + -9
2x = 35 + -9

Combine like terms: 35 + -9 = 26
2x = 26

Divide each side by '2'.
x = 13

Simplifying
x = 13

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