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

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


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

Reorder the terms:
6(5 + 2x) + -5(3x + 2) = 10
(5 * 6 + 2x * 6) + -5(3x + 2) = 10
(30 + 12x) + -5(3x + 2) = 10

Reorder the terms:
30 + 12x + -5(2 + 3x) = 10
30 + 12x + (2 * -5 + 3x * -5) = 10
30 + 12x + (-10 + -15x) = 10

Reorder the terms:
30 + -10 + 12x + -15x = 10

Combine like terms: 30 + -10 = 20
20 + 12x + -15x = 10

Combine like terms: 12x + -15x = -3x
20 + -3x = 10

Solving
20 + -3x = 10

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + -3x = 10 + -20

Combine like terms: 20 + -20 = 0
0 + -3x = 10 + -20
-3x = 10 + -20

Combine like terms: 10 + -20 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333

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