19(x-2)=4(x+1)

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Solution for 19(x-2)=4(x+1) equation:


Simplifying
19(x + -2) = 4(x + 1)

Reorder the terms:
19(-2 + x) = 4(x + 1)
(-2 * 19 + x * 19) = 4(x + 1)
(-38 + 19x) = 4(x + 1)

Reorder the terms:
-38 + 19x = 4(1 + x)
-38 + 19x = (1 * 4 + x * 4)
-38 + 19x = (4 + 4x)

Solving
-38 + 19x = 4 + 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.
-38 + 19x + -4x = 4 + 4x + -4x

Combine like terms: 19x + -4x = 15x
-38 + 15x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-38 + 15x = 4 + 0
-38 + 15x = 4

Add '38' to each side of the equation.
-38 + 38 + 15x = 4 + 38

Combine like terms: -38 + 38 = 0
0 + 15x = 4 + 38
15x = 4 + 38

Combine like terms: 4 + 38 = 42
15x = 42

Divide each side by '15'.
x = 2.8

Simplifying
x = 2.8

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