3(x+2)=8(x-1)-21

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Solution for 3(x+2)=8(x-1)-21 equation: 


Simplifying
3(x + 2) = 8(x + -1) + -21

Reorder the terms:
3(2 + x) = 8(x + -1) + -21
(2 * 3 + x * 3) = 8(x + -1) + -21
(6 + 3x) = 8(x + -1) + -21

Reorder the terms:
6 + 3x = 8(-1 + x) + -21
6 + 3x = (-1 * 8 + x * 8) + -21
6 + 3x = (-8 + 8x) + -21

Reorder the terms:
6 + 3x = -8 + -21 + 8x

Combine like terms: -8 + -21 = -29
6 + 3x = -29 + 8x

Solving
6 + 3x = -29 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
6 + 3x + -8x = -29 + 8x + -8x

Combine like terms: 3x + -8x = -5x
6 + -5x = -29 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -5x = -29 + 0
6 + -5x = -29

Add '-6' to each side of the equation.
6 + -6 + -5x = -29 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -29 + -6
-5x = -29 + -6

Combine like terms: -29 + -6 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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