3x+2-(6+2x)=-3x-2(2x+5)

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Solution for 3x+2-(6+2x)=-3x-2(2x+5) equation:


Simplifying
3x + 2 + -1(6 + 2x) = -3x + -2(2x + 5)
3x + 2 + (6 * -1 + 2x * -1) = -3x + -2(2x + 5)
3x + 2 + (-6 + -2x) = -3x + -2(2x + 5)

Reorder the terms:
2 + -6 + 3x + -2x = -3x + -2(2x + 5)

Combine like terms: 2 + -6 = -4
-4 + 3x + -2x = -3x + -2(2x + 5)

Combine like terms: 3x + -2x = 1x
-4 + 1x = -3x + -2(2x + 5)

Reorder the terms:
-4 + 1x = -3x + -2(5 + 2x)
-4 + 1x = -3x + (5 * -2 + 2x * -2)
-4 + 1x = -3x + (-10 + -4x)

Reorder the terms:
-4 + 1x = -10 + -3x + -4x

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

Solving
-4 + 1x = -10 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-4 + 1x + 7x = -10 + -7x + 7x

Combine like terms: 1x + 7x = 8x
-4 + 8x = -10 + -7x + 7x

Combine like terms: -7x + 7x = 0
-4 + 8x = -10 + 0
-4 + 8x = -10

Add '4' to each side of the equation.
-4 + 4 + 8x = -10 + 4

Combine like terms: -4 + 4 = 0
0 + 8x = -10 + 4
8x = -10 + 4

Combine like terms: -10 + 4 = -6
8x = -6

Divide each side by '8'.
x = -0.75

Simplifying
x = -0.75

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