2(x-3)=9x-10+7

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Solution for 2(x-3)=9x-10+7 equation:


Simplifying
2(x + -3) = 9x + -10 + 7

Reorder the terms:
2(-3 + x) = 9x + -10 + 7
(-3 * 2 + x * 2) = 9x + -10 + 7
(-6 + 2x) = 9x + -10 + 7

Reorder the terms:
-6 + 2x = -10 + 7 + 9x

Combine like terms: -10 + 7 = -3
-6 + 2x = -3 + 9x

Solving
-6 + 2x = -3 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-6 + 2x + -9x = -3 + 9x + -9x

Combine like terms: 2x + -9x = -7x
-6 + -7x = -3 + 9x + -9x

Combine like terms: 9x + -9x = 0
-6 + -7x = -3 + 0
-6 + -7x = -3

Add '6' to each side of the equation.
-6 + 6 + -7x = -3 + 6

Combine like terms: -6 + 6 = 0
0 + -7x = -3 + 6
-7x = -3 + 6

Combine like terms: -3 + 6 = 3
-7x = 3

Divide each side by '-7'.
x = -0.4285714286

Simplifying
x = -0.4285714286

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