3(10x-2)+3=6x+11

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Solution for 3(10x-2)+3=6x+11 equation:


Simplifying
3(10x + -2) + 3 = 6x + 11

Reorder the terms:
3(-2 + 10x) + 3 = 6x + 11
(-2 * 3 + 10x * 3) + 3 = 6x + 11
(-6 + 30x) + 3 = 6x + 11

Reorder the terms:
-6 + 3 + 30x = 6x + 11

Combine like terms: -6 + 3 = -3
-3 + 30x = 6x + 11

Reorder the terms:
-3 + 30x = 11 + 6x

Solving
-3 + 30x = 11 + 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.
-3 + 30x + -6x = 11 + 6x + -6x

Combine like terms: 30x + -6x = 24x
-3 + 24x = 11 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + 24x = 11 + 0
-3 + 24x = 11

Add '3' to each side of the equation.
-3 + 3 + 24x = 11 + 3

Combine like terms: -3 + 3 = 0
0 + 24x = 11 + 3
24x = 11 + 3

Combine like terms: 11 + 3 = 14
24x = 14

Divide each side by '24'.
x = 0.5833333333

Simplifying
x = 0.5833333333

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