4(6x+15)=2(x+3)-5

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Solution for 4(6x+15)=2(x+3)-5 equation:


Simplifying
4(6x + 15) = 2(x + 3) + -5

Reorder the terms:
4(15 + 6x) = 2(x + 3) + -5
(15 * 4 + 6x * 4) = 2(x + 3) + -5
(60 + 24x) = 2(x + 3) + -5

Reorder the terms:
60 + 24x = 2(3 + x) + -5
60 + 24x = (3 * 2 + x * 2) + -5
60 + 24x = (6 + 2x) + -5

Reorder the terms:
60 + 24x = 6 + -5 + 2x

Combine like terms: 6 + -5 = 1
60 + 24x = 1 + 2x

Solving
60 + 24x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
60 + 24x + -2x = 1 + 2x + -2x

Combine like terms: 24x + -2x = 22x
60 + 22x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
60 + 22x = 1 + 0
60 + 22x = 1

Add '-60' to each side of the equation.
60 + -60 + 22x = 1 + -60

Combine like terms: 60 + -60 = 0
0 + 22x = 1 + -60
22x = 1 + -60

Combine like terms: 1 + -60 = -59
22x = -59

Divide each side by '22'.
x = -2.681818182

Simplifying
x = -2.681818182

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