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

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Solution for 3x-(2x+1)=-2(3-x)+7 equation:


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

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

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

Combine like terms: 3x + -2x = 1x
-1 + 1x = -2(3 + -1x) + 7
-1 + 1x = (3 * -2 + -1x * -2) + 7
-1 + 1x = (-6 + 2x) + 7

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

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

Solving
-1 + 1x = 1 + 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.
-1 + 1x + -2x = 1 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-1 + -1x = 1 + 0
-1 + -1x = 1

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

Combine like terms: -1 + 1 = 0
0 + -1x = 1 + 1
-1x = 1 + 1

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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