4(9x+2)=2(14x-5)+15

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Solution for 4(9x+2)=2(14x-5)+15 equation:


Simplifying
4(9x + 2) = 2(14x + -5) + 15

Reorder the terms:
4(2 + 9x) = 2(14x + -5) + 15
(2 * 4 + 9x * 4) = 2(14x + -5) + 15
(8 + 36x) = 2(14x + -5) + 15

Reorder the terms:
8 + 36x = 2(-5 + 14x) + 15
8 + 36x = (-5 * 2 + 14x * 2) + 15
8 + 36x = (-10 + 28x) + 15

Reorder the terms:
8 + 36x = -10 + 15 + 28x

Combine like terms: -10 + 15 = 5
8 + 36x = 5 + 28x

Solving
8 + 36x = 5 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
8 + 36x + -28x = 5 + 28x + -28x

Combine like terms: 36x + -28x = 8x
8 + 8x = 5 + 28x + -28x

Combine like terms: 28x + -28x = 0
8 + 8x = 5 + 0
8 + 8x = 5

Add '-8' to each side of the equation.
8 + -8 + 8x = 5 + -8

Combine like terms: 8 + -8 = 0
0 + 8x = 5 + -8
8x = 5 + -8

Combine like terms: 5 + -8 = -3
8x = -3

Divide each side by '8'.
x = -0.375

Simplifying
x = -0.375

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