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 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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