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

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


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

Reorder the terms:
5(-3 + 2x) = 2(x + 4)
(-3 * 5 + 2x * 5) = 2(x + 4)
(-15 + 10x) = 2(x + 4)

Reorder the terms:
-15 + 10x = 2(4 + x)
-15 + 10x = (4 * 2 + x * 2)
-15 + 10x = (8 + 2x)

Solving
-15 + 10x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-15 + 10x + -2x = 8 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-15 + 8x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 8x = 8 + 0
-15 + 8x = 8

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

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

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

Divide each side by '8'.
x = 2.875

Simplifying
x = 2.875

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