2*(3x-5)=7-(3-x)

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Solution for 2*(3x-5)=7-(3-x) equation:


Simplifying
2(3x + -5) = 7 + -1(3 + -1x)

Reorder the terms:
2(-5 + 3x) = 7 + -1(3 + -1x)
(-5 * 2 + 3x * 2) = 7 + -1(3 + -1x)
(-10 + 6x) = 7 + -1(3 + -1x)
-10 + 6x = 7 + (3 * -1 + -1x * -1)
-10 + 6x = 7 + (-3 + 1x)

Combine like terms: 7 + -3 = 4
-10 + 6x = 4 + 1x

Solving
-10 + 6x = 4 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-10 + 6x + -1x = 4 + 1x + -1x

Combine like terms: 6x + -1x = 5x
-10 + 5x = 4 + 1x + -1x

Combine like terms: 1x + -1x = 0
-10 + 5x = 4 + 0
-10 + 5x = 4

Add '10' to each side of the equation.
-10 + 10 + 5x = 4 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 4 + 10
5x = 4 + 10

Combine like terms: 4 + 10 = 14
5x = 14

Divide each side by '5'.
x = 2.8

Simplifying
x = 2.8

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