7(2x+3)=11-(x+2)

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


Simplifying
7(2x + 3) = 11 + -1(x + 2)

Reorder the terms:
7(3 + 2x) = 11 + -1(x + 2)
(3 * 7 + 2x * 7) = 11 + -1(x + 2)
(21 + 14x) = 11 + -1(x + 2)

Reorder the terms:
21 + 14x = 11 + -1(2 + x)
21 + 14x = 11 + (2 * -1 + x * -1)
21 + 14x = 11 + (-2 + -1x)

Combine like terms: 11 + -2 = 9
21 + 14x = 9 + -1x

Solving
21 + 14x = 9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
21 + 14x + x = 9 + -1x + x

Combine like terms: 14x + x = 15x
21 + 15x = 9 + -1x + x

Combine like terms: -1x + x = 0
21 + 15x = 9 + 0
21 + 15x = 9

Add '-21' to each side of the equation.
21 + -21 + 15x = 9 + -21

Combine like terms: 21 + -21 = 0
0 + 15x = 9 + -21
15x = 9 + -21

Combine like terms: 9 + -21 = -12
15x = -12

Divide each side by '15'.
x = -0.8

Simplifying
x = -0.8

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