2(4x+7)=3(8+x)

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Solution for 2(4x+7)=3(8+x) equation:


Simplifying
2(4x + 7) = 3(8 + x)

Reorder the terms:
2(7 + 4x) = 3(8 + x)
(7 * 2 + 4x * 2) = 3(8 + x)
(14 + 8x) = 3(8 + x)
14 + 8x = (8 * 3 + x * 3)
14 + 8x = (24 + 3x)

Solving
14 + 8x = 24 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
14 + 8x + -3x = 24 + 3x + -3x

Combine like terms: 8x + -3x = 5x
14 + 5x = 24 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + 5x = 24 + 0
14 + 5x = 24

Add '-14' to each side of the equation.
14 + -14 + 5x = 24 + -14

Combine like terms: 14 + -14 = 0
0 + 5x = 24 + -14
5x = 24 + -14

Combine like terms: 24 + -14 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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