5(x-1)=7(x-1)-4

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Solution for 5(x-1)=7(x-1)-4 equation:


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

Reorder the terms:
5(-1 + x) = 7(x + -1) + -4
(-1 * 5 + x * 5) = 7(x + -1) + -4
(-5 + 5x) = 7(x + -1) + -4

Reorder the terms:
-5 + 5x = 7(-1 + x) + -4
-5 + 5x = (-1 * 7 + x * 7) + -4
-5 + 5x = (-7 + 7x) + -4

Reorder the terms:
-5 + 5x = -7 + -4 + 7x

Combine like terms: -7 + -4 = -11
-5 + 5x = -11 + 7x

Solving
-5 + 5x = -11 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-5 + 5x + -7x = -11 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-5 + -2x = -11 + 7x + -7x

Combine like terms: 7x + -7x = 0
-5 + -2x = -11 + 0
-5 + -2x = -11

Add '5' to each side of the equation.
-5 + 5 + -2x = -11 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = -11 + 5
-2x = -11 + 5

Combine like terms: -11 + 5 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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