5(x-4)-(2x-6)=5(x-4)

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Solution for 5(x-4)-(2x-6)=5(x-4) equation:


Simplifying
5(x + -4) + -1(2x + -6) = 5(x + -4)

Reorder the terms:
5(-4 + x) + -1(2x + -6) = 5(x + -4)
(-4 * 5 + x * 5) + -1(2x + -6) = 5(x + -4)
(-20 + 5x) + -1(2x + -6) = 5(x + -4)

Reorder the terms:
-20 + 5x + -1(-6 + 2x) = 5(x + -4)
-20 + 5x + (-6 * -1 + 2x * -1) = 5(x + -4)
-20 + 5x + (6 + -2x) = 5(x + -4)

Reorder the terms:
-20 + 6 + 5x + -2x = 5(x + -4)

Combine like terms: -20 + 6 = -14
-14 + 5x + -2x = 5(x + -4)

Combine like terms: 5x + -2x = 3x
-14 + 3x = 5(x + -4)

Reorder the terms:
-14 + 3x = 5(-4 + x)
-14 + 3x = (-4 * 5 + x * 5)
-14 + 3x = (-20 + 5x)

Solving
-14 + 3x = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-14 + 3x + -5x = -20 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-14 + -2x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-14 + -2x = -20 + 0
-14 + -2x = -20

Add '14' to each side of the equation.
-14 + 14 + -2x = -20 + 14

Combine like terms: -14 + 14 = 0
0 + -2x = -20 + 14
-2x = -20 + 14

Combine like terms: -20 + 14 = -6
-2x = -6

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

Simplifying
x = 3

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