2-3(4-x)+6=5x-1

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Solution for 2-3(4-x)+6=5x-1 equation:


Simplifying
2 + -3(4 + -1x) + 6 = 5x + -1
2 + (4 * -3 + -1x * -3) + 6 = 5x + -1
2 + (-12 + 3x) + 6 = 5x + -1

Reorder the terms:
2 + -12 + 6 + 3x = 5x + -1

Combine like terms: 2 + -12 = -10
-10 + 6 + 3x = 5x + -1

Combine like terms: -10 + 6 = -4
-4 + 3x = 5x + -1

Reorder the terms:
-4 + 3x = -1 + 5x

Solving
-4 + 3x = -1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-4 + 3x + -5x = -1 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-4 + -2x = -1 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + -2x = -1 + 0
-4 + -2x = -1

Add '4' to each side of the equation.
-4 + 4 + -2x = -1 + 4

Combine like terms: -4 + 4 = 0
0 + -2x = -1 + 4
-2x = -1 + 4

Combine like terms: -1 + 4 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

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