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

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


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

Reorder the terms:
3(-2 + 3x) + 21 = 7x + 3
(-2 * 3 + 3x * 3) + 21 = 7x + 3
(-6 + 9x) + 21 = 7x + 3

Reorder the terms:
-6 + 21 + 9x = 7x + 3

Combine like terms: -6 + 21 = 15
15 + 9x = 7x + 3

Reorder the terms:
15 + 9x = 3 + 7x

Solving
15 + 9x = 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.
15 + 9x + -7x = 3 + 7x + -7x

Combine like terms: 9x + -7x = 2x
15 + 2x = 3 + 7x + -7x

Combine like terms: 7x + -7x = 0
15 + 2x = 3 + 0
15 + 2x = 3

Add '-15' to each side of the equation.
15 + -15 + 2x = 3 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 3 + -15
2x = 3 + -15

Combine like terms: 3 + -15 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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