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

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


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

Reorder the terms:
6(-1 + 2x) = 7x + 1
(-1 * 6 + 2x * 6) = 7x + 1
(-6 + 12x) = 7x + 1

Reorder the terms:
-6 + 12x = 1 + 7x

Solving
-6 + 12x = 1 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-6 + 12x + -7x = 1 + 7x + -7x

Combine like terms: 12x + -7x = 5x
-6 + 5x = 1 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + 5x = 1 + 0
-6 + 5x = 1

Add '6' to each side of the equation.
-6 + 6 + 5x = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 1 + 6
5x = 1 + 6

Combine like terms: 1 + 6 = 7
5x = 7

Divide each side by '5'.
x = 1.4

Simplifying
x = 1.4

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