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

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


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

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

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

Combine like terms: 2 + 4 = 6
-15 + 6x = 6 + -1x

Solving
-15 + 6x = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-15 + 6x + x = 6 + -1x + x

Combine like terms: 6x + x = 7x
-15 + 7x = 6 + -1x + x

Combine like terms: -1x + x = 0
-15 + 7x = 6 + 0
-15 + 7x = 6

Add '15' to each side of the equation.
-15 + 15 + 7x = 6 + 15

Combine like terms: -15 + 15 = 0
0 + 7x = 6 + 15
7x = 6 + 15

Combine like terms: 6 + 15 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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