3(x-2)=2(x+22)-5+4x

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Solution for 3(x-2)=2(x+22)-5+4x equation:


Simplifying
3(x + -2) = 2(x + 22) + -5 + 4x

Reorder the terms:
3(-2 + x) = 2(x + 22) + -5 + 4x
(-2 * 3 + x * 3) = 2(x + 22) + -5 + 4x
(-6 + 3x) = 2(x + 22) + -5 + 4x

Reorder the terms:
-6 + 3x = 2(22 + x) + -5 + 4x
-6 + 3x = (22 * 2 + x * 2) + -5 + 4x
-6 + 3x = (44 + 2x) + -5 + 4x

Reorder the terms:
-6 + 3x = 44 + -5 + 2x + 4x

Combine like terms: 44 + -5 = 39
-6 + 3x = 39 + 2x + 4x

Combine like terms: 2x + 4x = 6x
-6 + 3x = 39 + 6x

Solving
-6 + 3x = 39 + 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 = 39 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-6 + -3x = 39 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -3x = 39 + 0
-6 + -3x = 39

Add '6' to each side of the equation.
-6 + 6 + -3x = 39 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = 39 + 6
-3x = 39 + 6

Combine like terms: 39 + 6 = 45
-3x = 45

Divide each side by '-3'.
x = -15

Simplifying
x = -15

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