8[5-(-3x-5)]=149x+255

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Solution for 8[5-(-3x-5)]=149x+255 equation:


Simplifying
8[5 + -1(-3x + -5)] = 149x + 255

Reorder the terms:
8[5 + -1(-5 + -3x)] = 149x + 255
8[5 + (-5 * -1 + -3x * -1)] = 149x + 255
8[5 + (5 + 3x)] = 149x + 255

Combine like terms: 5 + 5 = 10
8[10 + 3x] = 149x + 255
[10 * 8 + 3x * 8] = 149x + 255
[80 + 24x] = 149x + 255

Reorder the terms:
80 + 24x = 255 + 149x

Solving
80 + 24x = 255 + 149x

Solving for variable 'x'.

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

Add '-149x' to each side of the equation.
80 + 24x + -149x = 255 + 149x + -149x

Combine like terms: 24x + -149x = -125x
80 + -125x = 255 + 149x + -149x

Combine like terms: 149x + -149x = 0
80 + -125x = 255 + 0
80 + -125x = 255

Add '-80' to each side of the equation.
80 + -80 + -125x = 255 + -80

Combine like terms: 80 + -80 = 0
0 + -125x = 255 + -80
-125x = 255 + -80

Combine like terms: 255 + -80 = 175
-125x = 175

Divide each side by '-125'.
x = -1.4

Simplifying
x = -1.4

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