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

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


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

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

Reorder the terms:
19 + -4x = -7(-4 + x)
19 + -4x = (-4 * -7 + x * -7)
19 + -4x = (28 + -7x)

Solving
19 + -4x = 28 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
19 + -4x + 7x = 28 + -7x + 7x

Combine like terms: -4x + 7x = 3x
19 + 3x = 28 + -7x + 7x

Combine like terms: -7x + 7x = 0
19 + 3x = 28 + 0
19 + 3x = 28

Add '-19' to each side of the equation.
19 + -19 + 3x = 28 + -19

Combine like terms: 19 + -19 = 0
0 + 3x = 28 + -19
3x = 28 + -19

Combine like terms: 28 + -19 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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