8x+5(x+5)=8(x-5)+5(30)

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Solution for 8x+5(x+5)=8(x-5)+5(30) equation:


Simplifying
8x + 5(x + 5) = 8(x + -5) + 5(30)

Reorder the terms:
8x + 5(5 + x) = 8(x + -5) + 5(30)
8x + (5 * 5 + x * 5) = 8(x + -5) + 5(30)
8x + (25 + 5x) = 8(x + -5) + 5(30)

Reorder the terms:
25 + 8x + 5x = 8(x + -5) + 5(30)

Combine like terms: 8x + 5x = 13x
25 + 13x = 8(x + -5) + 5(30)

Reorder the terms:
25 + 13x = 8(-5 + x) + 5(30)
25 + 13x = (-5 * 8 + x * 8) + 5(30)
25 + 13x = (-40 + 8x) + 5(30)

Multiply 5 * 30
25 + 13x = -40 + 8x + 150

Reorder the terms:
25 + 13x = -40 + 150 + 8x

Combine like terms: -40 + 150 = 110
25 + 13x = 110 + 8x

Solving
25 + 13x = 110 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
25 + 13x + -8x = 110 + 8x + -8x

Combine like terms: 13x + -8x = 5x
25 + 5x = 110 + 8x + -8x

Combine like terms: 8x + -8x = 0
25 + 5x = 110 + 0
25 + 5x = 110

Add '-25' to each side of the equation.
25 + -25 + 5x = 110 + -25

Combine like terms: 25 + -25 = 0
0 + 5x = 110 + -25
5x = 110 + -25

Combine like terms: 110 + -25 = 85
5x = 85

Divide each side by '5'.
x = 17

Simplifying
x = 17

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