7[3-(-6x-3)]=123x+258

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Solution for 7[3-(-6x-3)]=123x+258 equation: 


Simplifying
7[3 + -1(-6x + -3)] = 123x + 258

Reorder the terms:
7[3 + -1(-3 + -6x)] = 123x + 258
7[3 + (-3 * -1 + -6x * -1)] = 123x + 258
7[3 + (3 + 6x)] = 123x + 258

Combine like terms: 3 + 3 = 6
7[6 + 6x] = 123x + 258
[6 * 7 + 6x * 7] = 123x + 258
[42 + 42x] = 123x + 258

Reorder the terms:
42 + 42x = 258 + 123x

Solving
42 + 42x = 258 + 123x

Solving for variable 'x'.

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

Add '-123x' to each side of the equation.
42 + 42x + -123x = 258 + 123x + -123x

Combine like terms: 42x + -123x = -81x
42 + -81x = 258 + 123x + -123x

Combine like terms: 123x + -123x = 0
42 + -81x = 258 + 0
42 + -81x = 258

Add '-42' to each side of the equation.
42 + -42 + -81x = 258 + -42

Combine like terms: 42 + -42 = 0
0 + -81x = 258 + -42
-81x = 258 + -42

Combine like terms: 258 + -42 = 216
-81x = 216

Divide each side by '-81'.
x = -2.666666667

Simplifying
x = -2.666666667

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