3(x+7)=2(x-2)

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Solution for 3(x+7)=2(x-2) equation:


Simplifying
3(x + 7) = 2(x + -2)

Reorder the terms:
3(7 + x) = 2(x + -2)
(7 * 3 + x * 3) = 2(x + -2)
(21 + 3x) = 2(x + -2)

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

Solving
21 + 3x = -4 + 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.
21 + 3x + -2x = -4 + 2x + -2x

Combine like terms: 3x + -2x = 1x
21 + 1x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
21 + 1x = -4 + 0
21 + 1x = -4

Add '-21' to each side of the equation.
21 + -21 + 1x = -4 + -21

Combine like terms: 21 + -21 = 0
0 + 1x = -4 + -21
1x = -4 + -21

Combine like terms: -4 + -21 = -25
1x = -25

Divide each side by '1'.
x = -25

Simplifying
x = -25

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