19-(x+7)=4x-8

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Solution for 19-(x+7)=4x-8 equation:


Simplifying
19 + -1(x + 7) = 4x + -8

Reorder the terms:
19 + -1(7 + x) = 4x + -8
19 + (7 * -1 + x * -1) = 4x + -8
19 + (-7 + -1x) = 4x + -8

Combine like terms: 19 + -7 = 12
12 + -1x = 4x + -8

Reorder the terms:
12 + -1x = -8 + 4x

Solving
12 + -1x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
12 + -1x + -4x = -8 + 4x + -4x

Combine like terms: -1x + -4x = -5x
12 + -5x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -5x = -8 + 0
12 + -5x = -8

Add '-12' to each side of the equation.
12 + -12 + -5x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = -8 + -12
-5x = -8 + -12

Combine like terms: -8 + -12 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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