7(x-1)=61x+4

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Solution for 7(x-1)=61x+4 equation:


Simplifying
7(x + -1) = 61x + 4

Reorder the terms:
7(-1 + x) = 61x + 4
(-1 * 7 + x * 7) = 61x + 4
(-7 + 7x) = 61x + 4

Reorder the terms:
-7 + 7x = 4 + 61x

Solving
-7 + 7x = 4 + 61x

Solving for variable 'x'.

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

Add '-61x' to each side of the equation.
-7 + 7x + -61x = 4 + 61x + -61x

Combine like terms: 7x + -61x = -54x
-7 + -54x = 4 + 61x + -61x

Combine like terms: 61x + -61x = 0
-7 + -54x = 4 + 0
-7 + -54x = 4

Add '7' to each side of the equation.
-7 + 7 + -54x = 4 + 7

Combine like terms: -7 + 7 = 0
0 + -54x = 4 + 7
-54x = 4 + 7

Combine like terms: 4 + 7 = 11
-54x = 11

Divide each side by '-54'.
x = -0.2037037037

Simplifying
x = -0.2037037037

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