10(2x+5)=3(6x+4)

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


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

Reorder the terms:
10(5 + 2x) = 3(6x + 4)
(5 * 10 + 2x * 10) = 3(6x + 4)
(50 + 20x) = 3(6x + 4)

Reorder the terms:
50 + 20x = 3(4 + 6x)
50 + 20x = (4 * 3 + 6x * 3)
50 + 20x = (12 + 18x)

Solving
50 + 20x = 12 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
50 + 20x + -18x = 12 + 18x + -18x

Combine like terms: 20x + -18x = 2x
50 + 2x = 12 + 18x + -18x

Combine like terms: 18x + -18x = 0
50 + 2x = 12 + 0
50 + 2x = 12

Add '-50' to each side of the equation.
50 + -50 + 2x = 12 + -50

Combine like terms: 50 + -50 = 0
0 + 2x = 12 + -50
2x = 12 + -50

Combine like terms: 12 + -50 = -38
2x = -38

Divide each side by '2'.
x = -19

Simplifying
x = -19

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