3(2x-3)-2=3(x-4)+22

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Solution for 3(2x-3)-2=3(x-4)+22 equation:


Simplifying
3(2x + -3) + -2 = 3(x + -4) + 22

Reorder the terms:
3(-3 + 2x) + -2 = 3(x + -4) + 22
(-3 * 3 + 2x * 3) + -2 = 3(x + -4) + 22
(-9 + 6x) + -2 = 3(x + -4) + 22

Reorder the terms:
-9 + -2 + 6x = 3(x + -4) + 22

Combine like terms: -9 + -2 = -11
-11 + 6x = 3(x + -4) + 22

Reorder the terms:
-11 + 6x = 3(-4 + x) + 22
-11 + 6x = (-4 * 3 + x * 3) + 22
-11 + 6x = (-12 + 3x) + 22

Reorder the terms:
-11 + 6x = -12 + 22 + 3x

Combine like terms: -12 + 22 = 10
-11 + 6x = 10 + 3x

Solving
-11 + 6x = 10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-11 + 6x + -3x = 10 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-11 + 3x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-11 + 3x = 10 + 0
-11 + 3x = 10

Add '11' to each side of the equation.
-11 + 11 + 3x = 10 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = 10 + 11
3x = 10 + 11

Combine like terms: 10 + 11 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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