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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