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

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Solution for 7(x+2)+3(2x-1)=-2 equation:


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

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

Reorder the terms:
14 + 7x + 3(-1 + 2x) = -2
14 + 7x + (-1 * 3 + 2x * 3) = -2
14 + 7x + (-3 + 6x) = -2

Reorder the terms:
14 + -3 + 7x + 6x = -2

Combine like terms: 14 + -3 = 11
11 + 7x + 6x = -2

Combine like terms: 7x + 6x = 13x
11 + 13x = -2

Solving
11 + 13x = -2

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 13x = -2 + -11

Combine like terms: 11 + -11 = 0
0 + 13x = -2 + -11
13x = -2 + -11

Combine like terms: -2 + -11 = -13
13x = -13

Divide each side by '13'.
x = -1

Simplifying
x = -1

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