3(x+7)-2x=4(x+2)-2

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Solution for 3(x+7)-2x=4(x+2)-2 equation:


Simplifying
3(x + 7) + -2x = 4(x + 2) + -2

Reorder the terms:
3(7 + x) + -2x = 4(x + 2) + -2
(7 * 3 + x * 3) + -2x = 4(x + 2) + -2
(21 + 3x) + -2x = 4(x + 2) + -2

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

Reorder the terms:
21 + 1x = 4(2 + x) + -2
21 + 1x = (2 * 4 + x * 4) + -2
21 + 1x = (8 + 4x) + -2

Reorder the terms:
21 + 1x = 8 + -2 + 4x

Combine like terms: 8 + -2 = 6
21 + 1x = 6 + 4x

Solving
21 + 1x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
21 + 1x + -4x = 6 + 4x + -4x

Combine like terms: 1x + -4x = -3x
21 + -3x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
21 + -3x = 6 + 0
21 + -3x = 6

Add '-21' to each side of the equation.
21 + -21 + -3x = 6 + -21

Combine like terms: 21 + -21 = 0
0 + -3x = 6 + -21
-3x = 6 + -21

Combine like terms: 6 + -21 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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