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

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


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

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

Reorder the terms:
15 + 6x = 4(-2 + x) + 11
15 + 6x = (-2 * 4 + x * 4) + 11
15 + 6x = (-8 + 4x) + 11

Reorder the terms:
15 + 6x = -8 + 11 + 4x

Combine like terms: -8 + 11 = 3
15 + 6x = 3 + 4x

Solving
15 + 6x = 3 + 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.
15 + 6x + -4x = 3 + 4x + -4x

Combine like terms: 6x + -4x = 2x
15 + 2x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + 2x = 3 + 0
15 + 2x = 3

Add '-15' to each side of the equation.
15 + -15 + 2x = 3 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 3 + -15
2x = 3 + -15

Combine like terms: 3 + -15 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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