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

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


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

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

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

Solving
-7 + 7x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-7 + 7x + -3x = -15 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-7 + 4x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + 4x = -15 + 0
-7 + 4x = -15

Add '7' to each side of the equation.
-7 + 7 + 4x = -15 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = -15 + 7
4x = -15 + 7

Combine like terms: -15 + 7 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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