6-3(4-x)=2x-1

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Solution for 6-3(4-x)=2x-1 equation:


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

Combine like terms: 6 + -12 = -6
-6 + 3x = 2x + -1

Reorder the terms:
-6 + 3x = -1 + 2x

Solving
-6 + 3x = -1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-6 + 3x + -2x = -1 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-6 + 1x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 1x = -1 + 0
-6 + 1x = -1

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

Combine like terms: -6 + 6 = 0
0 + 1x = -1 + 6
1x = -1 + 6

Combine like terms: -1 + 6 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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