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

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


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

Reorder the terms:
2(4 + x) = 5(x + -3)
(4 * 2 + x * 2) = 5(x + -3)
(8 + 2x) = 5(x + -3)

Reorder the terms:
8 + 2x = 5(-3 + x)
8 + 2x = (-3 * 5 + x * 5)
8 + 2x = (-15 + 5x)

Solving
8 + 2x = -15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
8 + 2x + -5x = -15 + 5x + -5x

Combine like terms: 2x + -5x = -3x
8 + -3x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -3x = -15 + 0
8 + -3x = -15

Add '-8' to each side of the equation.
8 + -8 + -3x = -15 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -15 + -8
-3x = -15 + -8

Combine like terms: -15 + -8 = -23
-3x = -23

Divide each side by '-3'.
x = 7.666666667

Simplifying
x = 7.666666667

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