(3x-10)+(x-7)=(x+183)

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Solution for (3x-10)+(x-7)=(x+183) equation:


Simplifying
(3x + -10) + (x + -7) = (x + 183)

Reorder the terms:
(-10 + 3x) + (x + -7) = (x + 183)

Remove parenthesis around (-10 + 3x)
-10 + 3x + (x + -7) = (x + 183)

Reorder the terms:
-10 + 3x + (-7 + x) = (x + 183)

Remove parenthesis around (-7 + x)
-10 + 3x + -7 + x = (x + 183)

Reorder the terms:
-10 + -7 + 3x + x = (x + 183)

Combine like terms: -10 + -7 = -17
-17 + 3x + x = (x + 183)

Combine like terms: 3x + x = 4x
-17 + 4x = (x + 183)

Reorder the terms:
-17 + 4x = (183 + x)

Remove parenthesis around (183 + x)
-17 + 4x = 183 + x

Solving
-17 + 4x = 183 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-17 + 4x + -1x = 183 + x + -1x

Combine like terms: 4x + -1x = 3x
-17 + 3x = 183 + x + -1x

Combine like terms: x + -1x = 0
-17 + 3x = 183 + 0
-17 + 3x = 183

Add '17' to each side of the equation.
-17 + 17 + 3x = 183 + 17

Combine like terms: -17 + 17 = 0
0 + 3x = 183 + 17
3x = 183 + 17

Combine like terms: 183 + 17 = 200
3x = 200

Divide each side by '3'.
x = 66.66666667

Simplifying
x = 66.66666667

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