11+3(2x+5)=4x+6-2x

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Solution for 11+3(2x+5)=4x+6-2x equation:


Simplifying
11 + 3(2x + 5) = 4x + 6 + -2x

Reorder the terms:
11 + 3(5 + 2x) = 4x + 6 + -2x
11 + (5 * 3 + 2x * 3) = 4x + 6 + -2x
11 + (15 + 6x) = 4x + 6 + -2x

Combine like terms: 11 + 15 = 26
26 + 6x = 4x + 6 + -2x

Reorder the terms:
26 + 6x = 6 + 4x + -2x

Combine like terms: 4x + -2x = 2x
26 + 6x = 6 + 2x

Solving
26 + 6x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
26 + 6x + -2x = 6 + 2x + -2x

Combine like terms: 6x + -2x = 4x
26 + 4x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
26 + 4x = 6 + 0
26 + 4x = 6

Add '-26' to each side of the equation.
26 + -26 + 4x = 6 + -26

Combine like terms: 26 + -26 = 0
0 + 4x = 6 + -26
4x = 6 + -26

Combine like terms: 6 + -26 = -20
4x = -20

Divide each side by '4'.
x = -5

Simplifying
x = -5

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