3(2x+7)=2(4x+5)

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Solution for 3(2x+7)=2(4x+5) equation:


Simplifying
3(2x + 7) = 2(4x + 5)

Reorder the terms:
3(7 + 2x) = 2(4x + 5)
(7 * 3 + 2x * 3) = 2(4x + 5)
(21 + 6x) = 2(4x + 5)

Reorder the terms:
21 + 6x = 2(5 + 4x)
21 + 6x = (5 * 2 + 4x * 2)
21 + 6x = (10 + 8x)

Solving
21 + 6x = 10 + 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 + 6x + -8x = 10 + 8x + -8x

Combine like terms: 6x + -8x = -2x
21 + -2x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
21 + -2x = 10 + 0
21 + -2x = 10

Add '-21' to each side of the equation.
21 + -21 + -2x = 10 + -21

Combine like terms: 21 + -21 = 0
0 + -2x = 10 + -21
-2x = 10 + -21

Combine like terms: 10 + -21 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5

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