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

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


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

Reorder the terms:
4(3 + x) + -3(x + -2) = 21
(3 * 4 + x * 4) + -3(x + -2) = 21
(12 + 4x) + -3(x + -2) = 21

Reorder the terms:
12 + 4x + -3(-2 + x) = 21
12 + 4x + (-2 * -3 + x * -3) = 21
12 + 4x + (6 + -3x) = 21

Reorder the terms:
12 + 6 + 4x + -3x = 21

Combine like terms: 12 + 6 = 18
18 + 4x + -3x = 21

Combine like terms: 4x + -3x = 1x
18 + 1x = 21

Solving
18 + 1x = 21

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 1x = 21 + -18

Combine like terms: 18 + -18 = 0
0 + 1x = 21 + -18
1x = 21 + -18

Combine like terms: 21 + -18 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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