x+19=4(x-2)

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


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

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

Reorder the terms:
19 + x = 4(-2 + x)
19 + x = (-2 * 4 + x * 4)
19 + x = (-8 + 4x)

Solving
19 + x = -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.
19 + x + -4x = -8 + 4x + -4x

Combine like terms: x + -4x = -3x
19 + -3x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
19 + -3x = -8 + 0
19 + -3x = -8

Add '-19' to each side of the equation.
19 + -19 + -3x = -8 + -19

Combine like terms: 19 + -19 = 0
0 + -3x = -8 + -19
-3x = -8 + -19

Combine like terms: -8 + -19 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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