19=4(x-1)-(x-5)

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Solution for 19=4(x-1)-(x-5) equation:


Simplifying
19 = 4(x + -1) + -1(x + -5)

Reorder the terms:
19 = 4(-1 + x) + -1(x + -5)
19 = (-1 * 4 + x * 4) + -1(x + -5)
19 = (-4 + 4x) + -1(x + -5)

Reorder the terms:
19 = -4 + 4x + -1(-5 + x)
19 = -4 + 4x + (-5 * -1 + x * -1)
19 = -4 + 4x + (5 + -1x)

Reorder the terms:
19 = -4 + 5 + 4x + -1x

Combine like terms: -4 + 5 = 1
19 = 1 + 4x + -1x

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

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

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

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

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

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

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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