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

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


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

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

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

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

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

Reorder the terms:
-3 + 3x = 12 + 6 + 4x

Combine like terms: 12 + 6 = 18
-3 + 3x = 18 + 4x

Solving
-3 + 3x = 18 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-3 + 3x + -4x = 18 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-3 + -1x = 18 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + -1x = 18 + 0
-3 + -1x = 18

Add '3' to each side of the equation.
-3 + 3 + -1x = 18 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 18 + 3
-1x = 18 + 3

Combine like terms: 18 + 3 = 21
-1x = 21

Divide each side by '-1'.
x = -21

Simplifying
x = -21

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