3(x-6)+2=4(x+2)+21

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Solution for 3(x-6)+2=4(x+2)+21 equation: 


Simplifying
3(x + -6) + 2 = 4(x + 2) + 21

Reorder the terms:
3(-6 + x) + 2 = 4(x + 2) + 21
(-6 * 3 + x * 3) + 2 = 4(x + 2) + 21
(-18 + 3x) + 2 = 4(x + 2) + 21

Reorder the terms:
-18 + 2 + 3x = 4(x + 2) + 21

Combine like terms: -18 + 2 = -16
-16 + 3x = 4(x + 2) + 21

Reorder the terms:
-16 + 3x = 4(2 + x) + 21
-16 + 3x = (2 * 4 + x * 4) + 21
-16 + 3x = (8 + 4x) + 21

Reorder the terms:
-16 + 3x = 8 + 21 + 4x

Combine like terms: 8 + 21 = 29
-16 + 3x = 29 + 4x

Solving
-16 + 3x = 29 + 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.
-16 + 3x + -4x = 29 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-16 + -1x = 29 + 4x + -4x

Combine like terms: 4x + -4x = 0
-16 + -1x = 29 + 0
-16 + -1x = 29

Add '16' to each side of the equation.
-16 + 16 + -1x = 29 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 29 + 16
-1x = 29 + 16

Combine like terms: 29 + 16 = 45
-1x = 45

Divide each side by '-1'.
x = -45

Simplifying
x = -45

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