3(x-22)=21-2(x-4)

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Solution for 3(x-22)=21-2(x-4) equation:


Simplifying
3(x + -22) = 21 + -2(x + -4)

Reorder the terms:
3(-22 + x) = 21 + -2(x + -4)
(-22 * 3 + x * 3) = 21 + -2(x + -4)
(-66 + 3x) = 21 + -2(x + -4)

Reorder the terms:
-66 + 3x = 21 + -2(-4 + x)
-66 + 3x = 21 + (-4 * -2 + x * -2)
-66 + 3x = 21 + (8 + -2x)

Combine like terms: 21 + 8 = 29
-66 + 3x = 29 + -2x

Solving
-66 + 3x = 29 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-66 + 3x + 2x = 29 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-66 + 5x = 29 + -2x + 2x

Combine like terms: -2x + 2x = 0
-66 + 5x = 29 + 0
-66 + 5x = 29

Add '66' to each side of the equation.
-66 + 66 + 5x = 29 + 66

Combine like terms: -66 + 66 = 0
0 + 5x = 29 + 66
5x = 29 + 66

Combine like terms: 29 + 66 = 95
5x = 95

Divide each side by '5'.
x = 19

Simplifying
x = 19

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