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

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


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

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

Reorder the terms:
-18 + 3x = 4(2 + x) + -21
-18 + 3x = (2 * 4 + x * 4) + -21
-18 + 3x = (8 + 4x) + -21

Reorder the terms:
-18 + 3x = 8 + -21 + 4x

Combine like terms: 8 + -21 = -13
-18 + 3x = -13 + 4x

Solving
-18 + 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.
-18 + 3x + -4x = -13 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-18 + -1x = -13 + 4x + -4x

Combine like terms: 4x + -4x = 0
-18 + -1x = -13 + 0
-18 + -1x = -13

Add '18' to each side of the equation.
-18 + 18 + -1x = -13 + 18

Combine like terms: -18 + 18 = 0
0 + -1x = -13 + 18
-1x = -13 + 18

Combine like terms: -13 + 18 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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