7x-1=5(3x-5)

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Solution for 7x-1=5(3x-5) equation:


Simplifying
7x + -1 = 5(3x + -5)

Reorder the terms:
-1 + 7x = 5(3x + -5)

Reorder the terms:
-1 + 7x = 5(-5 + 3x)
-1 + 7x = (-5 * 5 + 3x * 5)
-1 + 7x = (-25 + 15x)

Solving
-1 + 7x = -25 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-1 + 7x + -15x = -25 + 15x + -15x

Combine like terms: 7x + -15x = -8x
-1 + -8x = -25 + 15x + -15x

Combine like terms: 15x + -15x = 0
-1 + -8x = -25 + 0
-1 + -8x = -25

Add '1' to each side of the equation.
-1 + 1 + -8x = -25 + 1

Combine like terms: -1 + 1 = 0
0 + -8x = -25 + 1
-8x = -25 + 1

Combine like terms: -25 + 1 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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