3x+45=8x-220

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Solution for 3x+45=8x-220 equation:


Simplifying
3x + 45 = 8x + -220

Reorder the terms:
45 + 3x = 8x + -220

Reorder the terms:
45 + 3x = -220 + 8x

Solving
45 + 3x = -220 + 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.
45 + 3x + -8x = -220 + 8x + -8x

Combine like terms: 3x + -8x = -5x
45 + -5x = -220 + 8x + -8x

Combine like terms: 8x + -8x = 0
45 + -5x = -220 + 0
45 + -5x = -220

Add '-45' to each side of the equation.
45 + -45 + -5x = -220 + -45

Combine like terms: 45 + -45 = 0
0 + -5x = -220 + -45
-5x = -220 + -45

Combine like terms: -220 + -45 = -265
-5x = -265

Divide each side by '-5'.
x = 53

Simplifying
x = 53

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