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

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Solution for 30-(x+9)=7x-3 equation:


Simplifying
30 + -1(x + 9) = 7x + -3

Reorder the terms:
30 + -1(9 + x) = 7x + -3
30 + (9 * -1 + x * -1) = 7x + -3
30 + (-9 + -1x) = 7x + -3

Combine like terms: 30 + -9 = 21
21 + -1x = 7x + -3

Reorder the terms:
21 + -1x = -3 + 7x

Solving
21 + -1x = -3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
21 + -1x + -7x = -3 + 7x + -7x

Combine like terms: -1x + -7x = -8x
21 + -8x = -3 + 7x + -7x

Combine like terms: 7x + -7x = 0
21 + -8x = -3 + 0
21 + -8x = -3

Add '-21' to each side of the equation.
21 + -21 + -8x = -3 + -21

Combine like terms: 21 + -21 = 0
0 + -8x = -3 + -21
-8x = -3 + -21

Combine like terms: -3 + -21 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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