10-3(2x-1)=3x+1

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


Simplifying
10 + -3(2x + -1) = 3x + 1

Reorder the terms:
10 + -3(-1 + 2x) = 3x + 1
10 + (-1 * -3 + 2x * -3) = 3x + 1
10 + (3 + -6x) = 3x + 1

Combine like terms: 10 + 3 = 13
13 + -6x = 3x + 1

Reorder the terms:
13 + -6x = 1 + 3x

Solving
13 + -6x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
13 + -6x + -3x = 1 + 3x + -3x

Combine like terms: -6x + -3x = -9x
13 + -9x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
13 + -9x = 1 + 0
13 + -9x = 1

Add '-13' to each side of the equation.
13 + -13 + -9x = 1 + -13

Combine like terms: 13 + -13 = 0
0 + -9x = 1 + -13
-9x = 1 + -13

Combine like terms: 1 + -13 = -12
-9x = -12

Divide each side by '-9'.
x = 1.333333333

Simplifying
x = 1.333333333

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