19=7(x+3)-4(x-1)

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Solution for 19=7(x+3)-4(x-1) equation:


Simplifying
19 = 7(x + 3) + -4(x + -1)

Reorder the terms:
19 = 7(3 + x) + -4(x + -1)
19 = (3 * 7 + x * 7) + -4(x + -1)
19 = (21 + 7x) + -4(x + -1)

Reorder the terms:
19 = 21 + 7x + -4(-1 + x)
19 = 21 + 7x + (-1 * -4 + x * -4)
19 = 21 + 7x + (4 + -4x)

Reorder the terms:
19 = 21 + 4 + 7x + -4x

Combine like terms: 21 + 4 = 25
19 = 25 + 7x + -4x

Combine like terms: 7x + -4x = 3x
19 = 25 + 3x

Solving
19 = 25 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
19 + -3x = 25 + 3x + -3x

Combine like terms: 3x + -3x = 0
19 + -3x = 25 + 0
19 + -3x = 25

Add '-19' to each side of the equation.
19 + -19 + -3x = 25 + -19

Combine like terms: 19 + -19 = 0
0 + -3x = 25 + -19
-3x = 25 + -19

Combine like terms: 25 + -19 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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