3+5(x-9)=8-5(x-4)

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Solution for 3+5(x-9)=8-5(x-4) equation:


Simplifying
3 + 5(x + -9) = 8 + -5(x + -4)

Reorder the terms:
3 + 5(-9 + x) = 8 + -5(x + -4)
3 + (-9 * 5 + x * 5) = 8 + -5(x + -4)
3 + (-45 + 5x) = 8 + -5(x + -4)

Combine like terms: 3 + -45 = -42
-42 + 5x = 8 + -5(x + -4)

Reorder the terms:
-42 + 5x = 8 + -5(-4 + x)
-42 + 5x = 8 + (-4 * -5 + x * -5)
-42 + 5x = 8 + (20 + -5x)

Combine like terms: 8 + 20 = 28
-42 + 5x = 28 + -5x

Solving
-42 + 5x = 28 + -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.
-42 + 5x + 5x = 28 + -5x + 5x

Combine like terms: 5x + 5x = 10x
-42 + 10x = 28 + -5x + 5x

Combine like terms: -5x + 5x = 0
-42 + 10x = 28 + 0
-42 + 10x = 28

Add '42' to each side of the equation.
-42 + 42 + 10x = 28 + 42

Combine like terms: -42 + 42 = 0
0 + 10x = 28 + 42
10x = 28 + 42

Combine like terms: 28 + 42 = 70
10x = 70

Divide each side by '10'.
x = 7

Simplifying
x = 7

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