4x-(x-1)=19-3x

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Solution for 4x-(x-1)=19-3x equation:


Simplifying
4x + -1(x + -1) = 19 + -3x

Reorder the terms:
4x + -1(-1 + x) = 19 + -3x
4x + (-1 * -1 + x * -1) = 19 + -3x
4x + (1 + -1x) = 19 + -3x

Reorder the terms:
1 + 4x + -1x = 19 + -3x

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

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

Combine like terms: 3x + 3x = 6x
1 + 6x = 19 + -3x + 3x

Combine like terms: -3x + 3x = 0
1 + 6x = 19 + 0
1 + 6x = 19

Add '-1' to each side of the equation.
1 + -1 + 6x = 19 + -1

Combine like terms: 1 + -1 = 0
0 + 6x = 19 + -1
6x = 19 + -1

Combine like terms: 19 + -1 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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