19(x+6)=5x-5

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Solution for 19(x+6)=5x-5 equation:


Simplifying
19(x + 6) = 5x + -5

Reorder the terms:
19(6 + x) = 5x + -5
(6 * 19 + x * 19) = 5x + -5
(114 + 19x) = 5x + -5

Reorder the terms:
114 + 19x = -5 + 5x

Solving
114 + 19x = -5 + 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.
114 + 19x + -5x = -5 + 5x + -5x

Combine like terms: 19x + -5x = 14x
114 + 14x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
114 + 14x = -5 + 0
114 + 14x = -5

Add '-114' to each side of the equation.
114 + -114 + 14x = -5 + -114

Combine like terms: 114 + -114 = 0
0 + 14x = -5 + -114
14x = -5 + -114

Combine like terms: -5 + -114 = -119
14x = -119

Divide each side by '14'.
x = -8.5

Simplifying
x = -8.5

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