184*(x-185)-50=49x-(9x-32)+48*(51-5x)

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Solution for 184*(x-185)-50=49x-(9x-32)+48*(51-5x) equation:


Simplifying
184(x + -185) + -50 = 49x + -1(9x + -32) + 48(51 + -5x)

Reorder the terms:
184(-185 + x) + -50 = 49x + -1(9x + -32) + 48(51 + -5x)
(-185 * 184 + x * 184) + -50 = 49x + -1(9x + -32) + 48(51 + -5x)
(-34040 + 184x) + -50 = 49x + -1(9x + -32) + 48(51 + -5x)

Reorder the terms:
-34040 + -50 + 184x = 49x + -1(9x + -32) + 48(51 + -5x)

Combine like terms: -34040 + -50 = -34090
-34090 + 184x = 49x + -1(9x + -32) + 48(51 + -5x)

Reorder the terms:
-34090 + 184x = 49x + -1(-32 + 9x) + 48(51 + -5x)
-34090 + 184x = 49x + (-32 * -1 + 9x * -1) + 48(51 + -5x)
-34090 + 184x = 49x + (32 + -9x) + 48(51 + -5x)
-34090 + 184x = 49x + 32 + -9x + (51 * 48 + -5x * 48)
-34090 + 184x = 49x + 32 + -9x + (2448 + -240x)

Reorder the terms:
-34090 + 184x = 32 + 2448 + 49x + -9x + -240x

Combine like terms: 32 + 2448 = 2480
-34090 + 184x = 2480 + 49x + -9x + -240x

Combine like terms: 49x + -9x = 40x
-34090 + 184x = 2480 + 40x + -240x

Combine like terms: 40x + -240x = -200x
-34090 + 184x = 2480 + -200x

Solving
-34090 + 184x = 2480 + -200x

Solving for variable 'x'.

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

Add '200x' to each side of the equation.
-34090 + 184x + 200x = 2480 + -200x + 200x

Combine like terms: 184x + 200x = 384x
-34090 + 384x = 2480 + -200x + 200x

Combine like terms: -200x + 200x = 0
-34090 + 384x = 2480 + 0
-34090 + 384x = 2480

Add '34090' to each side of the equation.
-34090 + 34090 + 384x = 2480 + 34090

Combine like terms: -34090 + 34090 = 0
0 + 384x = 2480 + 34090
384x = 2480 + 34090

Combine like terms: 2480 + 34090 = 36570
384x = 36570

Divide each side by '384'.
x = 95.234375

Simplifying
x = 95.234375

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