3(2x-4)-2=3(x-3)+10

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Solution for 3(2x-4)-2=3(x-3)+10 equation:


Simplifying
3(2x + -4) + -2 = 3(x + -3) + 10

Reorder the terms:
3(-4 + 2x) + -2 = 3(x + -3) + 10
(-4 * 3 + 2x * 3) + -2 = 3(x + -3) + 10
(-12 + 6x) + -2 = 3(x + -3) + 10

Reorder the terms:
-12 + -2 + 6x = 3(x + -3) + 10

Combine like terms: -12 + -2 = -14
-14 + 6x = 3(x + -3) + 10

Reorder the terms:
-14 + 6x = 3(-3 + x) + 10
-14 + 6x = (-3 * 3 + x * 3) + 10
-14 + 6x = (-9 + 3x) + 10

Reorder the terms:
-14 + 6x = -9 + 10 + 3x

Combine like terms: -9 + 10 = 1
-14 + 6x = 1 + 3x

Solving
-14 + 6x = 1 + 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.
-14 + 6x + -3x = 1 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-14 + 3x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + 3x = 1 + 0
-14 + 3x = 1

Add '14' to each side of the equation.
-14 + 14 + 3x = 1 + 14

Combine like terms: -14 + 14 = 0
0 + 3x = 1 + 14
3x = 1 + 14

Combine like terms: 1 + 14 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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