5x-(3+2x)=18-(x-1)

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Solution for 5x-(3+2x)=18-(x-1) equation:


Simplifying
5x + -1(3 + 2x) = 18 + -1(x + -1)
5x + (3 * -1 + 2x * -1) = 18 + -1(x + -1)
5x + (-3 + -2x) = 18 + -1(x + -1)

Reorder the terms:
-3 + 5x + -2x = 18 + -1(x + -1)

Combine like terms: 5x + -2x = 3x
-3 + 3x = 18 + -1(x + -1)

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

Combine like terms: 18 + 1 = 19
-3 + 3x = 19 + -1x

Solving
-3 + 3x = 19 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-3 + 3x + x = 19 + -1x + x

Combine like terms: 3x + x = 4x
-3 + 4x = 19 + -1x + x

Combine like terms: -1x + x = 0
-3 + 4x = 19 + 0
-3 + 4x = 19

Add '3' to each side of the equation.
-3 + 3 + 4x = 19 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 19 + 3
4x = 19 + 3

Combine like terms: 19 + 3 = 22
4x = 22

Divide each side by '4'.
x = 5.5

Simplifying
x = 5.5

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