10x-3=3(2x+3)-9

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Solution for 10x-3=3(2x+3)-9 equation:


Simplifying
10x + -3 = 3(2x + 3) + -9

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

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

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

Combine like terms: 9 + -9 = 0
-3 + 10x = 0 + 6x
-3 + 10x = 6x

Solving
-3 + 10x = 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 + 10x + -6x = 6x + -6x

Combine like terms: 10x + -6x = 4x
-3 + 4x = 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + 4x = 0

Add '3' to each side of the equation.
-3 + 3 + 4x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 0 + 3
4x = 0 + 3

Combine like terms: 0 + 3 = 3
4x = 3

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75

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