3[x+5(7-x)+27]-11=94-15x

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Solution for 3[x+5(7-x)+27]-11=94-15x equation:


Simplifying
3[x + 5(7 + -1x) + 27] + -11 = 94 + -15x
3[x + (7 * 5 + -1x * 5) + 27] + -11 = 94 + -15x
3[x + (35 + -5x) + 27] + -11 = 94 + -15x

Reorder the terms:
3[35 + 27 + x + -5x] + -11 = 94 + -15x

Combine like terms: 35 + 27 = 62
3[62 + x + -5x] + -11 = 94 + -15x

Combine like terms: x + -5x = -4x
3[62 + -4x] + -11 = 94 + -15x
[62 * 3 + -4x * 3] + -11 = 94 + -15x
[186 + -12x] + -11 = 94 + -15x

Reorder the terms:
186 + -11 + -12x = 94 + -15x

Combine like terms: 186 + -11 = 175
175 + -12x = 94 + -15x

Solving
175 + -12x = 94 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
175 + -12x + 15x = 94 + -15x + 15x

Combine like terms: -12x + 15x = 3x
175 + 3x = 94 + -15x + 15x

Combine like terms: -15x + 15x = 0
175 + 3x = 94 + 0
175 + 3x = 94

Add '-175' to each side of the equation.
175 + -175 + 3x = 94 + -175

Combine like terms: 175 + -175 = 0
0 + 3x = 94 + -175
3x = 94 + -175

Combine like terms: 94 + -175 = -81
3x = -81

Divide each side by '3'.
x = -27

Simplifying
x = -27

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