3(5x+2)+4=-5(x-3)

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Solution for 3(5x+2)+4=-5(x-3) equation:


Simplifying
3(5x + 2) + 4 = -5(x + -3)

Reorder the terms:
3(2 + 5x) + 4 = -5(x + -3)
(2 * 3 + 5x * 3) + 4 = -5(x + -3)
(6 + 15x) + 4 = -5(x + -3)

Reorder the terms:
6 + 4 + 15x = -5(x + -3)

Combine like terms: 6 + 4 = 10
10 + 15x = -5(x + -3)

Reorder the terms:
10 + 15x = -5(-3 + x)
10 + 15x = (-3 * -5 + x * -5)
10 + 15x = (15 + -5x)

Solving
10 + 15x = 15 + -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.
10 + 15x + 5x = 15 + -5x + 5x

Combine like terms: 15x + 5x = 20x
10 + 20x = 15 + -5x + 5x

Combine like terms: -5x + 5x = 0
10 + 20x = 15 + 0
10 + 20x = 15

Add '-10' to each side of the equation.
10 + -10 + 20x = 15 + -10

Combine like terms: 10 + -10 = 0
0 + 20x = 15 + -10
20x = 15 + -10

Combine like terms: 15 + -10 = 5
20x = 5

Divide each side by '20'.
x = 0.25

Simplifying
x = 0.25

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