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

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


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

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

Reorder the terms:
-1 + 2x = 4x + -6(5 + x)
-1 + 2x = 4x + (5 * -6 + x * -6)
-1 + 2x = 4x + (-30 + -6x)

Reorder the terms:
-1 + 2x = -30 + 4x + -6x

Combine like terms: 4x + -6x = -2x
-1 + 2x = -30 + -2x

Solving
-1 + 2x = -30 + -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.
-1 + 2x + 2x = -30 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-1 + 4x = -30 + -2x + 2x

Combine like terms: -2x + 2x = 0
-1 + 4x = -30 + 0
-1 + 4x = -30

Add '1' to each side of the equation.
-1 + 1 + 4x = -30 + 1

Combine like terms: -1 + 1 = 0
0 + 4x = -30 + 1
4x = -30 + 1

Combine like terms: -30 + 1 = -29
4x = -29

Divide each side by '4'.
x = -7.25

Simplifying
x = -7.25

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