5x-(x+3)=3(9x+18)-5

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Solution for 5x-(x+3)=3(9x+18)-5 equation:


Simplifying
5x + -1(x + 3) = 3(9x + 18) + -5

Reorder the terms:
5x + -1(3 + x) = 3(9x + 18) + -5
5x + (3 * -1 + x * -1) = 3(9x + 18) + -5
5x + (-3 + -1x) = 3(9x + 18) + -5

Reorder the terms:
-3 + 5x + -1x = 3(9x + 18) + -5

Combine like terms: 5x + -1x = 4x
-3 + 4x = 3(9x + 18) + -5

Reorder the terms:
-3 + 4x = 3(18 + 9x) + -5
-3 + 4x = (18 * 3 + 9x * 3) + -5
-3 + 4x = (54 + 27x) + -5

Reorder the terms:
-3 + 4x = 54 + -5 + 27x

Combine like terms: 54 + -5 = 49
-3 + 4x = 49 + 27x

Solving
-3 + 4x = 49 + 27x

Solving for variable 'x'.

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

Add '-27x' to each side of the equation.
-3 + 4x + -27x = 49 + 27x + -27x

Combine like terms: 4x + -27x = -23x
-3 + -23x = 49 + 27x + -27x

Combine like terms: 27x + -27x = 0
-3 + -23x = 49 + 0
-3 + -23x = 49

Add '3' to each side of the equation.
-3 + 3 + -23x = 49 + 3

Combine like terms: -3 + 3 = 0
0 + -23x = 49 + 3
-23x = 49 + 3

Combine like terms: 49 + 3 = 52
-23x = 52

Divide each side by '-23'.
x = -2.260869565

Simplifying
x = -2.260869565

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