45(5x+5)+1=34(4x+12)+0

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Solution for 45(5x+5)+1=34(4x+12)+0 equation:


Simplifying
45(5x + 5) + 1 = 34(4x + 12) + 0

Reorder the terms:
45(5 + 5x) + 1 = 34(4x + 12) + 0
(5 * 45 + 5x * 45) + 1 = 34(4x + 12) + 0
(225 + 225x) + 1 = 34(4x + 12) + 0

Reorder the terms:
225 + 1 + 225x = 34(4x + 12) + 0

Combine like terms: 225 + 1 = 226
226 + 225x = 34(4x + 12) + 0

Reorder the terms:
226 + 225x = 34(12 + 4x) + 0
226 + 225x = (12 * 34 + 4x * 34) + 0
226 + 225x = (408 + 136x) + 0

Reorder the terms:
226 + 225x = 408 + 0 + 136x

Combine like terms: 408 + 0 = 408
226 + 225x = 408 + 136x

Solving
226 + 225x = 408 + 136x

Solving for variable 'x'.

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

Add '-136x' to each side of the equation.
226 + 225x + -136x = 408 + 136x + -136x

Combine like terms: 225x + -136x = 89x
226 + 89x = 408 + 136x + -136x

Combine like terms: 136x + -136x = 0
226 + 89x = 408 + 0
226 + 89x = 408

Add '-226' to each side of the equation.
226 + -226 + 89x = 408 + -226

Combine like terms: 226 + -226 = 0
0 + 89x = 408 + -226
89x = 408 + -226

Combine like terms: 408 + -226 = 182
89x = 182

Divide each side by '89'.
x = 2.04494382

Simplifying
x = 2.04494382

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