3(x+7)=2(4x+23)

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Solution for 3(x+7)=2(4x+23) equation:


Simplifying
3(x + 7) = 2(4x + 23)

Reorder the terms:
3(7 + x) = 2(4x + 23)
(7 * 3 + x * 3) = 2(4x + 23)
(21 + 3x) = 2(4x + 23)

Reorder the terms:
21 + 3x = 2(23 + 4x)
21 + 3x = (23 * 2 + 4x * 2)
21 + 3x = (46 + 8x)

Solving
21 + 3x = 46 + 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 = 46 + 8x + -8x

Combine like terms: 3x + -8x = -5x
21 + -5x = 46 + 8x + -8x

Combine like terms: 8x + -8x = 0
21 + -5x = 46 + 0
21 + -5x = 46

Add '-21' to each side of the equation.
21 + -21 + -5x = 46 + -21

Combine like terms: 21 + -21 = 0
0 + -5x = 46 + -21
-5x = 46 + -21

Combine like terms: 46 + -21 = 25
-5x = 25

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

Simplifying
x = -5

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