7x-19=-3(8x+5)

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Solution for 7x-19=-3(8x+5) equation:


Simplifying
7x + -19 = -3(8x + 5)

Reorder the terms:
-19 + 7x = -3(8x + 5)

Reorder the terms:
-19 + 7x = -3(5 + 8x)
-19 + 7x = (5 * -3 + 8x * -3)
-19 + 7x = (-15 + -24x)

Solving
-19 + 7x = -15 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
-19 + 7x + 24x = -15 + -24x + 24x

Combine like terms: 7x + 24x = 31x
-19 + 31x = -15 + -24x + 24x

Combine like terms: -24x + 24x = 0
-19 + 31x = -15 + 0
-19 + 31x = -15

Add '19' to each side of the equation.
-19 + 19 + 31x = -15 + 19

Combine like terms: -19 + 19 = 0
0 + 31x = -15 + 19
31x = -15 + 19

Combine like terms: -15 + 19 = 4
31x = 4

Divide each side by '31'.
x = 0.1290322581

Simplifying
x = 0.1290322581

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