19-3(x+1)=7-5(x-1)

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Solution for 19-3(x+1)=7-5(x-1) equation: 


Simplifying
19 + -3(x + 1) = 7 + -5(x + -1)

Reorder the terms:
19 + -3(1 + x) = 7 + -5(x + -1)
19 + (1 * -3 + x * -3) = 7 + -5(x + -1)
19 + (-3 + -3x) = 7 + -5(x + -1)

Combine like terms: 19 + -3 = 16
16 + -3x = 7 + -5(x + -1)

Reorder the terms:
16 + -3x = 7 + -5(-1 + x)
16 + -3x = 7 + (-1 * -5 + x * -5)
16 + -3x = 7 + (5 + -5x)

Combine like terms: 7 + 5 = 12
16 + -3x = 12 + -5x

Solving
16 + -3x = 12 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
16 + -3x + 5x = 12 + -5x + 5x

Combine like terms: -3x + 5x = 2x
16 + 2x = 12 + -5x + 5x

Combine like terms: -5x + 5x = 0
16 + 2x = 12 + 0
16 + 2x = 12

Add '-16' to each side of the equation.
16 + -16 + 2x = 12 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = 12 + -16
2x = 12 + -16

Combine like terms: 12 + -16 = -4
2x = -4

Divide each side by '2'.
x = -2

Simplifying
x = -2

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