7(x-6)+16=5(x-4)

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Solution for 7(x-6)+16=5(x-4) equation:


Simplifying
7(x + -6) + 16 = 5(x + -4)

Reorder the terms:
7(-6 + x) + 16 = 5(x + -4)
(-6 * 7 + x * 7) + 16 = 5(x + -4)
(-42 + 7x) + 16 = 5(x + -4)

Reorder the terms:
-42 + 16 + 7x = 5(x + -4)

Combine like terms: -42 + 16 = -26
-26 + 7x = 5(x + -4)

Reorder the terms:
-26 + 7x = 5(-4 + x)
-26 + 7x = (-4 * 5 + x * 5)
-26 + 7x = (-20 + 5x)

Solving
-26 + 7x = -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.
-26 + 7x + -5x = -20 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-26 + 2x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-26 + 2x = -20 + 0
-26 + 2x = -20

Add '26' to each side of the equation.
-26 + 26 + 2x = -20 + 26

Combine like terms: -26 + 26 = 0
0 + 2x = -20 + 26
2x = -20 + 26

Combine like terms: -20 + 26 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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