3(2x+7)=26-6(5x+11)

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Solution for 3(2x+7)=26-6(5x+11) equation:


Simplifying
3(2x + 7) = 26 + -6(5x + 11)

Reorder the terms:
3(7 + 2x) = 26 + -6(5x + 11)
(7 * 3 + 2x * 3) = 26 + -6(5x + 11)
(21 + 6x) = 26 + -6(5x + 11)

Reorder the terms:
21 + 6x = 26 + -6(11 + 5x)
21 + 6x = 26 + (11 * -6 + 5x * -6)
21 + 6x = 26 + (-66 + -30x)

Combine like terms: 26 + -66 = -40
21 + 6x = -40 + -30x

Solving
21 + 6x = -40 + -30x

Solving for variable 'x'.

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

Add '30x' to each side of the equation.
21 + 6x + 30x = -40 + -30x + 30x

Combine like terms: 6x + 30x = 36x
21 + 36x = -40 + -30x + 30x

Combine like terms: -30x + 30x = 0
21 + 36x = -40 + 0
21 + 36x = -40

Add '-21' to each side of the equation.
21 + -21 + 36x = -40 + -21

Combine like terms: 21 + -21 = 0
0 + 36x = -40 + -21
36x = -40 + -21

Combine like terms: -40 + -21 = -61
36x = -61

Divide each side by '36'.
x = -1.694444444

Simplifying
x = -1.694444444

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