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

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


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

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

Reorder the terms:
9 + 10x + -3x = 5x + 6

Combine like terms: 10x + -3x = 7x
9 + 7x = 5x + 6

Reorder the terms:
9 + 7x = 6 + 5x

Solving
9 + 7x = 6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
9 + 7x + -5x = 6 + 5x + -5x

Combine like terms: 7x + -5x = 2x
9 + 2x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + 2x = 6 + 0
9 + 2x = 6

Add '-9' to each side of the equation.
9 + -9 + 2x = 6 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 6 + -9
2x = 6 + -9

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

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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