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

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


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

Reorder the terms:
3(-5 + 2x) = 2 + 4(3 + -1x)
(-5 * 3 + 2x * 3) = 2 + 4(3 + -1x)
(-15 + 6x) = 2 + 4(3 + -1x)
-15 + 6x = 2 + (3 * 4 + -1x * 4)
-15 + 6x = 2 + (12 + -4x)

Combine like terms: 2 + 12 = 14
-15 + 6x = 14 + -4x

Solving
-15 + 6x = 14 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-15 + 6x + 4x = 14 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-15 + 10x = 14 + -4x + 4x

Combine like terms: -4x + 4x = 0
-15 + 10x = 14 + 0
-15 + 10x = 14

Add '15' to each side of the equation.
-15 + 15 + 10x = 14 + 15

Combine like terms: -15 + 15 = 0
0 + 10x = 14 + 15
10x = 14 + 15

Combine like terms: 14 + 15 = 29
10x = 29

Divide each side by '10'.
x = 2.9

Simplifying
x = 2.9

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