(7x-1)=3(2x+1)-4(x+6)

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Solution for (7x-1)=3(2x+1)-4(x+6) equation:


Simplifying
(7x + -1) = 3(2x + 1) + -4(x + 6)

Reorder the terms:
(-1 + 7x) = 3(2x + 1) + -4(x + 6)

Remove parenthesis around (-1 + 7x)
-1 + 7x = 3(2x + 1) + -4(x + 6)

Reorder the terms:
-1 + 7x = 3(1 + 2x) + -4(x + 6)
-1 + 7x = (1 * 3 + 2x * 3) + -4(x + 6)
-1 + 7x = (3 + 6x) + -4(x + 6)

Reorder the terms:
-1 + 7x = 3 + 6x + -4(6 + x)
-1 + 7x = 3 + 6x + (6 * -4 + x * -4)
-1 + 7x = 3 + 6x + (-24 + -4x)

Reorder the terms:
-1 + 7x = 3 + -24 + 6x + -4x

Combine like terms: 3 + -24 = -21
-1 + 7x = -21 + 6x + -4x

Combine like terms: 6x + -4x = 2x
-1 + 7x = -21 + 2x

Solving
-1 + 7x = -21 + 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 + 7x + -2x = -21 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-1 + 5x = -21 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1 + 5x = -21 + 0
-1 + 5x = -21

Add '1' to each side of the equation.
-1 + 1 + 5x = -21 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = -21 + 1
5x = -21 + 1

Combine like terms: -21 + 1 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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