5(5-8-21)=19(-2x)

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Solution for 5(5-8-21)=19(-2x) equation:


Simplifying
5(5 + -8 + -21) = 19(-2x)

Combine like terms: 5 + -8 = -3
5(-3 + -21) = 19(-2x)

Combine like terms: -3 + -21 = -24
5(-24) = 19(-2x)

Multiply 5 * -24
-120 = 19(-2x)

Remove parenthesis around (-2x)
-120 = 19 * -2x

Multiply 19 * -2
-120 = -38x

Solving
-120 = -38x

Solving for variable 'x'.

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

Add '38x' to each side of the equation.
-120 + 38x = -38x + 38x

Combine like terms: -38x + 38x = 0
-120 + 38x = 0

Add '120' to each side of the equation.
-120 + 120 + 38x = 0 + 120

Combine like terms: -120 + 120 = 0
0 + 38x = 0 + 120
38x = 0 + 120

Combine like terms: 0 + 120 = 120
38x = 120

Divide each side by '38'.
x = 3.157894737

Simplifying
x = 3.157894737

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