-3x-2(3+5x)=19-2(2x-2)

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Solution for -3x-2(3+5x)=19-2(2x-2) equation:


Simplifying
-3x + -2(3 + 5x) = 19 + -2(2x + -2)
-3x + (3 * -2 + 5x * -2) = 19 + -2(2x + -2)
-3x + (-6 + -10x) = 19 + -2(2x + -2)

Reorder the terms:
-6 + -3x + -10x = 19 + -2(2x + -2)

Combine like terms: -3x + -10x = -13x
-6 + -13x = 19 + -2(2x + -2)

Reorder the terms:
-6 + -13x = 19 + -2(-2 + 2x)
-6 + -13x = 19 + (-2 * -2 + 2x * -2)
-6 + -13x = 19 + (4 + -4x)

Combine like terms: 19 + 4 = 23
-6 + -13x = 23 + -4x

Solving
-6 + -13x = 23 + -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 + -13x + 4x = 23 + -4x + 4x

Combine like terms: -13x + 4x = -9x
-6 + -9x = 23 + -4x + 4x

Combine like terms: -4x + 4x = 0
-6 + -9x = 23 + 0
-6 + -9x = 23

Add '6' to each side of the equation.
-6 + 6 + -9x = 23 + 6

Combine like terms: -6 + 6 = 0
0 + -9x = 23 + 6
-9x = 23 + 6

Combine like terms: 23 + 6 = 29
-9x = 29

Divide each side by '-9'.
x = -3.222222222

Simplifying
x = -3.222222222

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