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

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


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

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

Reorder the terms:
-6 + 2x = -7 + 3x + 1x

Combine like terms: 3x + 1x = 4x
-6 + 2x = -7 + 4x

Solving
-6 + 2x = -7 + 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.
-6 + 2x + -4x = -7 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-6 + -2x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + -2x = -7 + 0
-6 + -2x = -7

Add '6' to each side of the equation.
-6 + 6 + -2x = -7 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -7 + 6
-2x = -7 + 6

Combine like terms: -7 + 6 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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