5x+5(x-8)=7(x-9)

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Solution for 5x+5(x-8)=7(x-9) equation:


Simplifying
5x + 5(x + -8) = 7(x + -9)

Reorder the terms:
5x + 5(-8 + x) = 7(x + -9)
5x + (-8 * 5 + x * 5) = 7(x + -9)
5x + (-40 + 5x) = 7(x + -9)

Reorder the terms:
-40 + 5x + 5x = 7(x + -9)

Combine like terms: 5x + 5x = 10x
-40 + 10x = 7(x + -9)

Reorder the terms:
-40 + 10x = 7(-9 + x)
-40 + 10x = (-9 * 7 + x * 7)
-40 + 10x = (-63 + 7x)

Solving
-40 + 10x = -63 + 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.
-40 + 10x + -7x = -63 + 7x + -7x

Combine like terms: 10x + -7x = 3x
-40 + 3x = -63 + 7x + -7x

Combine like terms: 7x + -7x = 0
-40 + 3x = -63 + 0
-40 + 3x = -63

Add '40' to each side of the equation.
-40 + 40 + 3x = -63 + 40

Combine like terms: -40 + 40 = 0
0 + 3x = -63 + 40
3x = -63 + 40

Combine like terms: -63 + 40 = -23
3x = -23

Divide each side by '3'.
x = -7.666666667

Simplifying
x = -7.666666667

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