7x+9=3(x-7)

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


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

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

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

Solving
9 + 7x = -21 + 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.
9 + 7x + -3x = -21 + 3x + -3x

Combine like terms: 7x + -3x = 4x
9 + 4x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + 4x = -21 + 0
9 + 4x = -21

Add '-9' to each side of the equation.
9 + -9 + 4x = -21 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = -21 + -9
4x = -21 + -9

Combine like terms: -21 + -9 = -30
4x = -30

Divide each side by '4'.
x = -7.5

Simplifying
x = -7.5

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