19=7x-3(4x+7)

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Solution for 19=7x-3(4x+7) equation:


Simplifying
19 = 7x + -3(4x + 7)

Reorder the terms:
19 = 7x + -3(7 + 4x)
19 = 7x + (7 * -3 + 4x * -3)
19 = 7x + (-21 + -12x)

Reorder the terms:
19 = -21 + 7x + -12x

Combine like terms: 7x + -12x = -5x
19 = -21 + -5x

Solving
19 = -21 + -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.
19 + 5x = -21 + -5x + 5x

Combine like terms: -5x + 5x = 0
19 + 5x = -21 + 0
19 + 5x = -21

Add '-19' to each side of the equation.
19 + -19 + 5x = -21 + -19

Combine like terms: 19 + -19 = 0
0 + 5x = -21 + -19
5x = -21 + -19

Combine like terms: -21 + -19 = -40
5x = -40

Divide each side by '5'.
x = -8

Simplifying
x = -8

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