# 3(x+7)=2(4x+28)

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## Solution for 3(x+7)=2(4x+28) equation:

Simplifying
3(x + 7) = 2(4x + 28)
Reorder the terms:
3(7 + x) = 2(4x + 28)
(7 * 3 + x * 3) = 2(4x + 28)
(21 + 3x) = 2(4x + 28)
Reorder the terms:
21 + 3x = 2(28 + 4x)
21 + 3x = (28 * 2 + 4x * 2)
21 + 3x = (56 + 8x)
Solving
21 + 3x = 56 + 8x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x' to each side of the equation.
21 + 3x + -8x = 56 + 8x + -8x
Combine like terms: 3x + -8x = -5x
21 + -5x = 56 + 8x + -8x
Combine like terms: 8x + -8x = 0
21 + -5x = 56 + 0
21 + -5x = 56
Add '-21' to each side of the equation.
21 + -21 + -5x = 56 + -21
Combine like terms: 21 + -21 = 0
0 + -5x = 56 + -21
-5x = 56 + -21
Combine like terms: 56 + -21 = 35
-5x = 35
Divide each side by '-5'.
x = -7
Simplifying
x = -7`

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