(2x+3)(x-1)-7=2x(x+4)+11

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Solution for (2x+3)(x-1)-7=2x(x+4)+11 equation: 


Simplifying
(2x + 3)(x + -1) + -7 = 2x(x + 4) + 11

Reorder the terms:
(3 + 2x)(x + -1) + -7 = 2x(x + 4) + 11

Reorder the terms:
(3 + 2x)(-1 + x) + -7 = 2x(x + 4) + 11

Multiply (3 + 2x) * (-1 + x)
(3(-1 + x) + 2x * (-1 + x)) + -7 = 2x(x + 4) + 11
((-1 * 3 + x * 3) + 2x * (-1 + x)) + -7 = 2x(x + 4) + 11
((-3 + 3x) + 2x * (-1 + x)) + -7 = 2x(x + 4) + 11
(-3 + 3x + (-1 * 2x + x * 2x)) + -7 = 2x(x + 4) + 11
(-3 + 3x + (-2x + 2x2)) + -7 = 2x(x + 4) + 11

Combine like terms: 3x + -2x = 1x
(-3 + 1x + 2x2) + -7 = 2x(x + 4) + 11

Reorder the terms:
-3 + -7 + 1x + 2x2 = 2x(x + 4) + 11

Combine like terms: -3 + -7 = -10
-10 + 1x + 2x2 = 2x(x + 4) + 11

Reorder the terms:
-10 + 1x + 2x2 = 2x(4 + x) + 11
-10 + 1x + 2x2 = (4 * 2x + x * 2x) + 11
-10 + 1x + 2x2 = (8x + 2x2) + 11

Reorder the terms:
-10 + 1x + 2x2 = 11 + 8x + 2x2

Add '-2x2' to each side of the equation.
-10 + 1x + 2x2 + -2x2 = 11 + 8x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-10 + 1x + 0 = 11 + 8x + 2x2 + -2x2
-10 + 1x = 11 + 8x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-10 + 1x = 11 + 8x + 0
-10 + 1x = 11 + 8x

Solving
-10 + 1x = 11 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-10 + 1x + -8x = 11 + 8x + -8x

Combine like terms: 1x + -8x = -7x
-10 + -7x = 11 + 8x + -8x

Combine like terms: 8x + -8x = 0
-10 + -7x = 11 + 0
-10 + -7x = 11

Add '10' to each side of the equation.
-10 + 10 + -7x = 11 + 10

Combine like terms: -10 + 10 = 0
0 + -7x = 11 + 10
-7x = 11 + 10

Combine like terms: 11 + 10 = 21
-7x = 21

Divide each side by '-7'.
x = -3

Simplifying
x = -3

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