3(3x-1)-4=7x+9

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Solution for 3(3x-1)-4=7x+9 equation:


Simplifying
3(3x + -1) + -4 = 7x + 9

Reorder the terms:
3(-1 + 3x) + -4 = 7x + 9
(-1 * 3 + 3x * 3) + -4 = 7x + 9
(-3 + 9x) + -4 = 7x + 9

Reorder the terms:
-3 + -4 + 9x = 7x + 9

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

Reorder the terms:
-7 + 9x = 9 + 7x

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

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

Combine like terms: 7x + -7x = 0
-7 + 2x = 9 + 0
-7 + 2x = 9

Add '7' to each side of the equation.
-7 + 7 + 2x = 9 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = 9 + 7
2x = 9 + 7

Combine like terms: 9 + 7 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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