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

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


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

Reorder the terms:
2(-3 + x) + 4 = 5x + -1
(-3 * 2 + x * 2) + 4 = 5x + -1
(-6 + 2x) + 4 = 5x + -1

Reorder the terms:
-6 + 4 + 2x = 5x + -1

Combine like terms: -6 + 4 = -2
-2 + 2x = 5x + -1

Reorder the terms:
-2 + 2x = -1 + 5x

Solving
-2 + 2x = -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.
-2 + 2x + -5x = -1 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-2 + -3x = -1 + 0
-2 + -3x = -1

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

Combine like terms: -2 + 2 = 0
0 + -3x = -1 + 2
-3x = -1 + 2

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

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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