7+3x=2(-x+9)-21

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Solution for 7+3x=2(-x+9)-21 equation:


Simplifying
7 + 3x = 2(-1x + 9) + -21

Reorder the terms:
7 + 3x = 2(9 + -1x) + -21
7 + 3x = (9 * 2 + -1x * 2) + -21
7 + 3x = (18 + -2x) + -21

Reorder the terms:
7 + 3x = 18 + -21 + -2x

Combine like terms: 18 + -21 = -3
7 + 3x = -3 + -2x

Solving
7 + 3x = -3 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
7 + 3x + 2x = -3 + -2x + 2x

Combine like terms: 3x + 2x = 5x
7 + 5x = -3 + -2x + 2x

Combine like terms: -2x + 2x = 0
7 + 5x = -3 + 0
7 + 5x = -3

Add '-7' to each side of the equation.
7 + -7 + 5x = -3 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = -3 + -7
5x = -3 + -7

Combine like terms: -3 + -7 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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