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

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


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

Reorder the terms:
2(15 + 4x) = 6(2x + 3) + -5
(15 * 2 + 4x * 2) = 6(2x + 3) + -5
(30 + 8x) = 6(2x + 3) + -5

Reorder the terms:
30 + 8x = 6(3 + 2x) + -5
30 + 8x = (3 * 6 + 2x * 6) + -5
30 + 8x = (18 + 12x) + -5

Reorder the terms:
30 + 8x = 18 + -5 + 12x

Combine like terms: 18 + -5 = 13
30 + 8x = 13 + 12x

Solving
30 + 8x = 13 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
30 + 8x + -12x = 13 + 12x + -12x

Combine like terms: 8x + -12x = -4x
30 + -4x = 13 + 12x + -12x

Combine like terms: 12x + -12x = 0
30 + -4x = 13 + 0
30 + -4x = 13

Add '-30' to each side of the equation.
30 + -30 + -4x = 13 + -30

Combine like terms: 30 + -30 = 0
0 + -4x = 13 + -30
-4x = 13 + -30

Combine like terms: 13 + -30 = -17
-4x = -17

Divide each side by '-4'.
x = 4.25

Simplifying
x = 4.25

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