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

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


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

Reorder the terms:
19 + -2(3 + 2x) = 2(x + 3) + x
19 + (3 * -2 + 2x * -2) = 2(x + 3) + x
19 + (-6 + -4x) = 2(x + 3) + x

Combine like terms: 19 + -6 = 13
13 + -4x = 2(x + 3) + x

Reorder the terms:
13 + -4x = 2(3 + x) + x
13 + -4x = (3 * 2 + x * 2) + x
13 + -4x = (6 + 2x) + x

Combine like terms: 2x + x = 3x
13 + -4x = 6 + 3x

Solving
13 + -4x = 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.
13 + -4x + -3x = 6 + 3x + -3x

Combine like terms: -4x + -3x = -7x
13 + -7x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
13 + -7x = 6 + 0
13 + -7x = 6

Add '-13' to each side of the equation.
13 + -13 + -7x = 6 + -13

Combine like terms: 13 + -13 = 0
0 + -7x = 6 + -13
-7x = 6 + -13

Combine like terms: 6 + -13 = -7
-7x = -7

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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