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

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


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

Reorder the terms:
3(3 + x) + -2(x + -5) = 6x + 10
(3 * 3 + x * 3) + -2(x + -5) = 6x + 10
(9 + 3x) + -2(x + -5) = 6x + 10

Reorder the terms:
9 + 3x + -2(-5 + x) = 6x + 10
9 + 3x + (-5 * -2 + x * -2) = 6x + 10
9 + 3x + (10 + -2x) = 6x + 10

Reorder the terms:
9 + 10 + 3x + -2x = 6x + 10

Combine like terms: 9 + 10 = 19
19 + 3x + -2x = 6x + 10

Combine like terms: 3x + -2x = 1x
19 + 1x = 6x + 10

Reorder the terms:
19 + 1x = 10 + 6x

Solving
19 + 1x = 10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
19 + 1x + -6x = 10 + 6x + -6x

Combine like terms: 1x + -6x = -5x
19 + -5x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
19 + -5x = 10 + 0
19 + -5x = 10

Add '-19' to each side of the equation.
19 + -19 + -5x = 10 + -19

Combine like terms: 19 + -19 = 0
0 + -5x = 10 + -19
-5x = 10 + -19

Combine like terms: 10 + -19 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8

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