6(5x-3)=2(x+8)

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Solution for 6(5x-3)=2(x+8) equation:


Simplifying
6(5x + -3) = 2(x + 8)

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

Reorder the terms:
-18 + 30x = 2(8 + x)
-18 + 30x = (8 * 2 + x * 2)
-18 + 30x = (16 + 2x)

Solving
-18 + 30x = 16 + 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.
-18 + 30x + -2x = 16 + 2x + -2x

Combine like terms: 30x + -2x = 28x
-18 + 28x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-18 + 28x = 16 + 0
-18 + 28x = 16

Add '18' to each side of the equation.
-18 + 18 + 28x = 16 + 18

Combine like terms: -18 + 18 = 0
0 + 28x = 16 + 18
28x = 16 + 18

Combine like terms: 16 + 18 = 34
28x = 34

Divide each side by '28'.
x = 1.214285714

Simplifying
x = 1.214285714

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