7x-1=17(3x-13)

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Solution for 7x-1=17(3x-13) equation:


Simplifying
7x + -1 = 17(3x + -13)

Reorder the terms:
-1 + 7x = 17(3x + -13)

Reorder the terms:
-1 + 7x = 17(-13 + 3x)
-1 + 7x = (-13 * 17 + 3x * 17)
-1 + 7x = (-221 + 51x)

Solving
-1 + 7x = -221 + 51x

Solving for variable 'x'.

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

Add '-51x' to each side of the equation.
-1 + 7x + -51x = -221 + 51x + -51x

Combine like terms: 7x + -51x = -44x
-1 + -44x = -221 + 51x + -51x

Combine like terms: 51x + -51x = 0
-1 + -44x = -221 + 0
-1 + -44x = -221

Add '1' to each side of the equation.
-1 + 1 + -44x = -221 + 1

Combine like terms: -1 + 1 = 0
0 + -44x = -221 + 1
-44x = -221 + 1

Combine like terms: -221 + 1 = -220
-44x = -220

Divide each side by '-44'.
x = 5

Simplifying
x = 5

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