5(x+60)-400.7=8(x-40)

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Solution for 5(x+60)-400.7=8(x-40) equation:


Simplifying
5(x + 60) + -400.7 = 8(x + -40)

Reorder the terms:
5(60 + x) + -400.7 = 8(x + -40)
(60 * 5 + x * 5) + -400.7 = 8(x + -40)
(300 + 5x) + -400.7 = 8(x + -40)

Reorder the terms:
300 + -400.7 + 5x = 8(x + -40)

Combine like terms: 300 + -400.7 = -100.7
-100.7 + 5x = 8(x + -40)

Reorder the terms:
-100.7 + 5x = 8(-40 + x)
-100.7 + 5x = (-40 * 8 + x * 8)
-100.7 + 5x = (-320 + 8x)

Solving
-100.7 + 5x = -320 + 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.
-100.7 + 5x + -8x = -320 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-100.7 + -3x = -320 + 8x + -8x

Combine like terms: 8x + -8x = 0
-100.7 + -3x = -320 + 0
-100.7 + -3x = -320

Add '100.7' to each side of the equation.
-100.7 + 100.7 + -3x = -320 + 100.7

Combine like terms: -100.7 + 100.7 = 0.0
0.0 + -3x = -320 + 100.7
-3x = -320 + 100.7

Combine like terms: -320 + 100.7 = -219.3
-3x = -219.3

Divide each side by '-3'.
x = 73.1

Simplifying
x = 73.1

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