2+3(4-x)=6x-13

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Solution for 2+3(4-x)=6x-13 equation:


Simplifying
2 + 3(4 + -1x) = 6x + -13
2 + (4 * 3 + -1x * 3) = 6x + -13
2 + (12 + -3x) = 6x + -13

Combine like terms: 2 + 12 = 14
14 + -3x = 6x + -13

Reorder the terms:
14 + -3x = -13 + 6x

Solving
14 + -3x = -13 + 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.
14 + -3x + -6x = -13 + 6x + -6x

Combine like terms: -3x + -6x = -9x
14 + -9x = -13 + 6x + -6x

Combine like terms: 6x + -6x = 0
14 + -9x = -13 + 0
14 + -9x = -13

Add '-14' to each side of the equation.
14 + -14 + -9x = -13 + -14

Combine like terms: 14 + -14 = 0
0 + -9x = -13 + -14
-9x = -13 + -14

Combine like terms: -13 + -14 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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