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

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


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

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

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

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

Reorder the terms:
-2 + 6x = 2(1 + 7x)
-2 + 6x = (1 * 2 + 7x * 2)
-2 + 6x = (2 + 14x)

Solving
-2 + 6x = 2 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-2 + 6x + -14x = 2 + 14x + -14x

Combine like terms: 6x + -14x = -8x
-2 + -8x = 2 + 14x + -14x

Combine like terms: 14x + -14x = 0
-2 + -8x = 2 + 0
-2 + -8x = 2

Add '2' to each side of the equation.
-2 + 2 + -8x = 2 + 2

Combine like terms: -2 + 2 = 0
0 + -8x = 2 + 2
-8x = 2 + 2

Combine like terms: 2 + 2 = 4
-8x = 4

Divide each side by '-8'.
x = -0.5

Simplifying
x = -0.5

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