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

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Solution for 3x-3(5+2x)=4-2(x+1) equation:


Simplifying
3x + -3(5 + 2x) = 4 + -2(x + 1)
3x + (5 * -3 + 2x * -3) = 4 + -2(x + 1)
3x + (-15 + -6x) = 4 + -2(x + 1)

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

Combine like terms: 3x + -6x = -3x
-15 + -3x = 4 + -2(x + 1)

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

Combine like terms: 4 + -2 = 2
-15 + -3x = 2 + -2x

Solving
-15 + -3x = 2 + -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.
-15 + -3x + 2x = 2 + -2x + 2x

Combine like terms: -3x + 2x = -1x
-15 + -1x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-15 + -1x = 2 + 0
-15 + -1x = 2

Add '15' to each side of the equation.
-15 + 15 + -1x = 2 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = 2 + 15
-1x = 2 + 15

Combine like terms: 2 + 15 = 17
-1x = 17

Divide each side by '-1'.
x = -17

Simplifying
x = -17

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