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

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


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

Reorder the terms:
6(3 + x) + -4(2x + -3) = 10
(3 * 6 + x * 6) + -4(2x + -3) = 10
(18 + 6x) + -4(2x + -3) = 10

Reorder the terms:
18 + 6x + -4(-3 + 2x) = 10
18 + 6x + (-3 * -4 + 2x * -4) = 10
18 + 6x + (12 + -8x) = 10

Reorder the terms:
18 + 12 + 6x + -8x = 10

Combine like terms: 18 + 12 = 30
30 + 6x + -8x = 10

Combine like terms: 6x + -8x = -2x
30 + -2x = 10

Solving
30 + -2x = 10

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + -2x = 10 + -30

Combine like terms: 30 + -30 = 0
0 + -2x = 10 + -30
-2x = 10 + -30

Combine like terms: 10 + -30 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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