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

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


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

Combine like terms: 2x + 3x = 5x
19 + -1(5x) = 2(x + 3) + x

Remove parenthesis around (5x)
19 + -1 * 5x = 2(x + 3) + x

Multiply -1 * 5
19 + -5x = 2(x + 3) + x

Reorder the terms:
19 + -5x = 2(3 + x) + x
19 + -5x = (3 * 2 + x * 2) + x
19 + -5x = (6 + 2x) + x

Combine like terms: 2x + x = 3x
19 + -5x = 6 + 3x

Solving
19 + -5x = 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.
19 + -5x + -3x = 6 + 3x + -3x

Combine like terms: -5x + -3x = -8x
19 + -8x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
19 + -8x = 6 + 0
19 + -8x = 6

Add '-19' to each side of the equation.
19 + -19 + -8x = 6 + -19

Combine like terms: 19 + -19 = 0
0 + -8x = 6 + -19
-8x = 6 + -19

Combine like terms: 6 + -19 = -13
-8x = -13

Divide each side by '-8'.
x = 1.625

Simplifying
x = 1.625

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