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

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


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

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

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

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

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

Combine like terms: 6 + 3 = 9
22 + -2x = 9 + 2x

Solving
22 + -2x = 9 + 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.
22 + -2x + -2x = 9 + 2x + -2x

Combine like terms: -2x + -2x = -4x
22 + -4x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
22 + -4x = 9 + 0
22 + -4x = 9

Add '-22' to each side of the equation.
22 + -22 + -4x = 9 + -22

Combine like terms: 22 + -22 = 0
0 + -4x = 9 + -22
-4x = 9 + -22

Combine like terms: 9 + -22 = -13
-4x = -13

Divide each side by '-4'.
x = 3.25

Simplifying
x = 3.25

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