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

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


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

Reorder the terms:
2(-3 + x) + 5(x + 6) = 4 + -2(2x + 3)
(-3 * 2 + x * 2) + 5(x + 6) = 4 + -2(2x + 3)
(-6 + 2x) + 5(x + 6) = 4 + -2(2x + 3)

Reorder the terms:
-6 + 2x + 5(6 + x) = 4 + -2(2x + 3)
-6 + 2x + (6 * 5 + x * 5) = 4 + -2(2x + 3)
-6 + 2x + (30 + 5x) = 4 + -2(2x + 3)

Reorder the terms:
-6 + 30 + 2x + 5x = 4 + -2(2x + 3)

Combine like terms: -6 + 30 = 24
24 + 2x + 5x = 4 + -2(2x + 3)

Combine like terms: 2x + 5x = 7x
24 + 7x = 4 + -2(2x + 3)

Reorder the terms:
24 + 7x = 4 + -2(3 + 2x)
24 + 7x = 4 + (3 * -2 + 2x * -2)
24 + 7x = 4 + (-6 + -4x)

Combine like terms: 4 + -6 = -2
24 + 7x = -2 + -4x

Solving
24 + 7x = -2 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
24 + 7x + 4x = -2 + -4x + 4x

Combine like terms: 7x + 4x = 11x
24 + 11x = -2 + -4x + 4x

Combine like terms: -4x + 4x = 0
24 + 11x = -2 + 0
24 + 11x = -2

Add '-24' to each side of the equation.
24 + -24 + 11x = -2 + -24

Combine like terms: 24 + -24 = 0
0 + 11x = -2 + -24
11x = -2 + -24

Combine like terms: -2 + -24 = -26
11x = -26

Divide each side by '11'.
x = -2.363636364

Simplifying
x = -2.363636364

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