3x-1=(59x-1)-2(7-2x)

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Solution for 3x-1=(59x-1)-2(7-2x) equation:


Simplifying
3x + -1 = (59x + -1) + -2(7 + -2x)

Reorder the terms:
-1 + 3x = (59x + -1) + -2(7 + -2x)

Reorder the terms:
-1 + 3x = (-1 + 59x) + -2(7 + -2x)

Remove parenthesis around (-1 + 59x)
-1 + 3x = -1 + 59x + -2(7 + -2x)
-1 + 3x = -1 + 59x + (7 * -2 + -2x * -2)
-1 + 3x = -1 + 59x + (-14 + 4x)

Reorder the terms:
-1 + 3x = -1 + -14 + 59x + 4x

Combine like terms: -1 + -14 = -15
-1 + 3x = -15 + 59x + 4x

Combine like terms: 59x + 4x = 63x
-1 + 3x = -15 + 63x

Solving
-1 + 3x = -15 + 63x

Solving for variable 'x'.

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

Add '-63x' to each side of the equation.
-1 + 3x + -63x = -15 + 63x + -63x

Combine like terms: 3x + -63x = -60x
-1 + -60x = -15 + 63x + -63x

Combine like terms: 63x + -63x = 0
-1 + -60x = -15 + 0
-1 + -60x = -15

Add '1' to each side of the equation.
-1 + 1 + -60x = -15 + 1

Combine like terms: -1 + 1 = 0
0 + -60x = -15 + 1
-60x = -15 + 1

Combine like terms: -15 + 1 = -14
-60x = -14

Divide each side by '-60'.
x = 0.2333333333

Simplifying
x = 0.2333333333

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