7-2(1-3x)=9x-10

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Solution for 7-2(1-3x)=9x-10 equation:


Simplifying
7 + -2(1 + -3x) = 9x + -10
7 + (1 * -2 + -3x * -2) = 9x + -10
7 + (-2 + 6x) = 9x + -10

Combine like terms: 7 + -2 = 5
5 + 6x = 9x + -10

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

Solving
5 + 6x = -10 + 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.
5 + 6x + -9x = -10 + 9x + -9x

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

Combine like terms: 9x + -9x = 0
5 + -3x = -10 + 0
5 + -3x = -10

Add '-5' to each side of the equation.
5 + -5 + -3x = -10 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = -10 + -5
-3x = -10 + -5

Combine like terms: -10 + -5 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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