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

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


Simplifying
19 + -1(2x + -3) = 2(x + 3) + x

Reorder the terms:
19 + -1(-3 + 2x) = 2(x + 3) + x
19 + (-3 * -1 + 2x * -1) = 2(x + 3) + x
19 + (3 + -2x) = 2(x + 3) + x

Combine like terms: 19 + 3 = 22
22 + -2x = 2(x + 3) + x

Reorder the terms:
22 + -2x = 2(3 + x) + x
22 + -2x = (3 * 2 + x * 2) + x
22 + -2x = (6 + 2x) + x

Combine like terms: 2x + x = 3x
22 + -2x = 6 + 3x

Solving
22 + -2x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
22 + -2x + -3x = 6 + 3x + -3x

Combine like terms: -2x + -3x = -5x
22 + -5x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
22 + -5x = 6 + 0
22 + -5x = 6

Add '-22' to each side of the equation.
22 + -22 + -5x = 6 + -22

Combine like terms: 22 + -22 = 0
0 + -5x = 6 + -22
-5x = 6 + -22

Combine like terms: 6 + -22 = -16
-5x = -16

Divide each side by '-5'.
x = 3.2

Simplifying
x = 3.2

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