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

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


Simplifying
3(2x + -5) = 2(4 + -1x)

Reorder the terms:
3(-5 + 2x) = 2(4 + -1x)
(-5 * 3 + 2x * 3) = 2(4 + -1x)
(-15 + 6x) = 2(4 + -1x)
-15 + 6x = (4 * 2 + -1x * 2)
-15 + 6x = (8 + -2x)

Solving
-15 + 6x = 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 + 6x + 2x = 8 + -2x + 2x

Combine like terms: 6x + 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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