3(x-1)=7x-1

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Solution for 3(x-1)=7x-1 equation:


Simplifying
3(x + -1) = 7x + -1

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

Reorder the terms:
-3 + 3x = -1 + 7x

Solving
-3 + 3x = -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.
-3 + 3x + -7x = -1 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
-3 + -4x = -1 + 0
-3 + -4x = -1

Add '3' to each side of the equation.
-3 + 3 + -4x = -1 + 3

Combine like terms: -3 + 3 = 0
0 + -4x = -1 + 3
-4x = -1 + 3

Combine like terms: -1 + 3 = 2
-4x = 2

Divide each side by '-4'.
x = -0.5

Simplifying
x = -0.5

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