19(x+2)=7x-20+4x-5

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Solution for 19(x+2)=7x-20+4x-5 equation:


Simplifying
19(x + 2) = 7x + -20 + 4x + -5

Reorder the terms:
19(2 + x) = 7x + -20 + 4x + -5
(2 * 19 + x * 19) = 7x + -20 + 4x + -5
(38 + 19x) = 7x + -20 + 4x + -5

Reorder the terms:
38 + 19x = -20 + -5 + 7x + 4x

Combine like terms: -20 + -5 = -25
38 + 19x = -25 + 7x + 4x

Combine like terms: 7x + 4x = 11x
38 + 19x = -25 + 11x

Solving
38 + 19x = -25 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
38 + 19x + -11x = -25 + 11x + -11x

Combine like terms: 19x + -11x = 8x
38 + 8x = -25 + 11x + -11x

Combine like terms: 11x + -11x = 0
38 + 8x = -25 + 0
38 + 8x = -25

Add '-38' to each side of the equation.
38 + -38 + 8x = -25 + -38

Combine like terms: 38 + -38 = 0
0 + 8x = -25 + -38
8x = -25 + -38

Combine like terms: -25 + -38 = -63
8x = -63

Divide each side by '8'.
x = -7.875

Simplifying
x = -7.875

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