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

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


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

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

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

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

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

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

Combine like terms: 8 + -21 = -13
-16 + 3x = -13 + 4r

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

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 3x = -13 + 16 + 4r

Combine like terms: -16 + 16 = 0
0 + 3x = -13 + 16 + 4r
3x = -13 + 16 + 4r

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

Divide each side by '3'.
x = 1 + 1.333333333r

Simplifying
x = 1 + 1.333333333r

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