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 = -13
16 + 3x = -13 + 4x

Solving
16 + 3x = -13 + 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 = -13 + 4x + -4x

Combine like terms: 3x + -4x = -1x
16 + -1x = -13 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + -1x = -13 + 0
16 + -1x = -13

Add '-16' to each side of the equation.
16 + -16 + -1x = -13 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = -13 + -16
-1x = -13 + -16

Combine like terms: -13 + -16 = -29
-1x = -29

Divide each side by '-1'.
x = 29

Simplifying
x = 29

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