7x+9=3(5x+7)

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Solution for 7x+9=3(5x+7) equation:


Simplifying
7x + 9 = 3(5x + 7)

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

Reorder the terms:
9 + 7x = 3(7 + 5x)
9 + 7x = (7 * 3 + 5x * 3)
9 + 7x = (21 + 15x)

Solving
9 + 7x = 21 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
9 + 7x + -15x = 21 + 15x + -15x

Combine like terms: 7x + -15x = -8x
9 + -8x = 21 + 15x + -15x

Combine like terms: 15x + -15x = 0
9 + -8x = 21 + 0
9 + -8x = 21

Add '-9' to each side of the equation.
9 + -9 + -8x = 21 + -9

Combine like terms: 9 + -9 = 0
0 + -8x = 21 + -9
-8x = 21 + -9

Combine like terms: 21 + -9 = 12
-8x = 12

Divide each side by '-8'.
x = -1.5

Simplifying
x = -1.5

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