3(x-4)+6=3(2x-9)

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Solution for 3(x-4)+6=3(2x-9) equation:


Simplifying
3(x + -4) + 6 = 3(2x + -9)

Reorder the terms:
3(-4 + x) + 6 = 3(2x + -9)
(-4 * 3 + x * 3) + 6 = 3(2x + -9)
(-12 + 3x) + 6 = 3(2x + -9)

Reorder the terms:
-12 + 6 + 3x = 3(2x + -9)

Combine like terms: -12 + 6 = -6
-6 + 3x = 3(2x + -9)

Reorder the terms:
-6 + 3x = 3(-9 + 2x)
-6 + 3x = (-9 * 3 + 2x * 3)
-6 + 3x = (-27 + 6x)

Solving
-6 + 3x = -27 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + 3x + -6x = -27 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-6 + -3x = -27 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -3x = -27 + 0
-6 + -3x = -27

Add '6' to each side of the equation.
-6 + 6 + -3x = -27 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = -27 + 6
-3x = -27 + 6

Combine like terms: -27 + 6 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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