4(x+50)=x-6

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Solution for 4(x+50)=x-6 equation:


Simplifying
4(x + 50) = x + -6

Reorder the terms:
4(50 + x) = x + -6
(50 * 4 + x * 4) = x + -6
(200 + 4x) = x + -6

Reorder the terms:
200 + 4x = -6 + x

Solving
200 + 4x = -6 + 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.
200 + 4x + -1x = -6 + x + -1x

Combine like terms: 4x + -1x = 3x
200 + 3x = -6 + x + -1x

Combine like terms: x + -1x = 0
200 + 3x = -6 + 0
200 + 3x = -6

Add '-200' to each side of the equation.
200 + -200 + 3x = -6 + -200

Combine like terms: 200 + -200 = 0
0 + 3x = -6 + -200
3x = -6 + -200

Combine like terms: -6 + -200 = -206
3x = -206

Divide each side by '3'.
x = -68.66666667

Simplifying
x = -68.66666667

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