6+3(4-7x)=3(2x+5)-2

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Solution for 6+3(4-7x)=3(2x+5)-2 equation:


Simplifying
6 + 3(4 + -7x) = 3(2x + 5) + -2
6 + (4 * 3 + -7x * 3) = 3(2x + 5) + -2
6 + (12 + -21x) = 3(2x + 5) + -2

Combine like terms: 6 + 12 = 18
18 + -21x = 3(2x + 5) + -2

Reorder the terms:
18 + -21x = 3(5 + 2x) + -2
18 + -21x = (5 * 3 + 2x * 3) + -2
18 + -21x = (15 + 6x) + -2

Reorder the terms:
18 + -21x = 15 + -2 + 6x

Combine like terms: 15 + -2 = 13
18 + -21x = 13 + 6x

Solving
18 + -21x = 13 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
18 + -21x + -6x = 13 + 6x + -6x

Combine like terms: -21x + -6x = -27x
18 + -27x = 13 + 6x + -6x

Combine like terms: 6x + -6x = 0
18 + -27x = 13 + 0
18 + -27x = 13

Add '-18' to each side of the equation.
18 + -18 + -27x = 13 + -18

Combine like terms: 18 + -18 = 0
0 + -27x = 13 + -18
-27x = 13 + -18

Combine like terms: 13 + -18 = -5
-27x = -5

Divide each side by '-27'.
x = 0.1851851852

Simplifying
x = 0.1851851852

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