9(x+4)-5(2x+7)=3x+19-5x

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Solution for 9(x+4)-5(2x+7)=3x+19-5x equation:


Simplifying
9(x + 4) + -5(2x + 7) = 3x + 19 + -5x

Reorder the terms:
9(4 + x) + -5(2x + 7) = 3x + 19 + -5x
(4 * 9 + x * 9) + -5(2x + 7) = 3x + 19 + -5x
(36 + 9x) + -5(2x + 7) = 3x + 19 + -5x

Reorder the terms:
36 + 9x + -5(7 + 2x) = 3x + 19 + -5x
36 + 9x + (7 * -5 + 2x * -5) = 3x + 19 + -5x
36 + 9x + (-35 + -10x) = 3x + 19 + -5x

Reorder the terms:
36 + -35 + 9x + -10x = 3x + 19 + -5x

Combine like terms: 36 + -35 = 1
1 + 9x + -10x = 3x + 19 + -5x

Combine like terms: 9x + -10x = -1x
1 + -1x = 3x + 19 + -5x

Reorder the terms:
1 + -1x = 19 + 3x + -5x

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

Solving
1 + -1x = 19 + -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.
1 + -1x + 2x = 19 + -2x + 2x

Combine like terms: -1x + 2x = 1x
1 + 1x = 19 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + 1x = 19 + 0
1 + 1x = 19

Add '-1' to each side of the equation.
1 + -1 + 1x = 19 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = 19 + -1
1x = 19 + -1

Combine like terms: 19 + -1 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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