3(5x+4)+6(10x-2)=2(8x+1)

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Solution for 3(5x+4)+6(10x-2)=2(8x+1) equation:


Simplifying
3(5x + 4) + 6(10x + -2) = 2(8x + 1)

Reorder the terms:
3(4 + 5x) + 6(10x + -2) = 2(8x + 1)
(4 * 3 + 5x * 3) + 6(10x + -2) = 2(8x + 1)
(12 + 15x) + 6(10x + -2) = 2(8x + 1)

Reorder the terms:
12 + 15x + 6(-2 + 10x) = 2(8x + 1)
12 + 15x + (-2 * 6 + 10x * 6) = 2(8x + 1)
12 + 15x + (-12 + 60x) = 2(8x + 1)

Reorder the terms:
12 + -12 + 15x + 60x = 2(8x + 1)

Combine like terms: 12 + -12 = 0
0 + 15x + 60x = 2(8x + 1)
15x + 60x = 2(8x + 1)

Combine like terms: 15x + 60x = 75x
75x = 2(8x + 1)

Reorder the terms:
75x = 2(1 + 8x)
75x = (1 * 2 + 8x * 2)
75x = (2 + 16x)

Solving
75x = 2 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
75x + -16x = 2 + 16x + -16x

Combine like terms: 75x + -16x = 59x
59x = 2 + 16x + -16x

Combine like terms: 16x + -16x = 0
59x = 2 + 0
59x = 2

Divide each side by '59'.
x = 0.03389830508

Simplifying
x = 0.03389830508

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