2x(5-2x)+(4x-3)(x+1)=8

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Solution for 2x(5-2x)+(4x-3)(x+1)=8 equation: 


Simplifying
2x(5 + -2x) + (4x + -3)(x + 1) = 8
(5 * 2x + -2x * 2x) + (4x + -3)(x + 1) = 8
(10x + -4x2) + (4x + -3)(x + 1) = 8

Reorder the terms:
10x + -4x2 + (-3 + 4x)(x + 1) = 8

Reorder the terms:
10x + -4x2 + (-3 + 4x)(1 + x) = 8

Multiply (-3 + 4x) * (1 + x)
10x + -4x2 + (-3(1 + x) + 4x * (1 + x)) = 8
10x + -4x2 + ((1 * -3 + x * -3) + 4x * (1 + x)) = 8
10x + -4x2 + ((-3 + -3x) + 4x * (1 + x)) = 8
10x + -4x2 + (-3 + -3x + (1 * 4x + x * 4x)) = 8
10x + -4x2 + (-3 + -3x + (4x + 4x2)) = 8

Combine like terms: -3x + 4x = 1x
10x + -4x2 + (-3 + 1x + 4x2) = 8

Reorder the terms:
-3 + 10x + 1x + -4x2 + 4x2 = 8

Combine like terms: 10x + 1x = 11x
-3 + 11x + -4x2 + 4x2 = 8

Combine like terms: -4x2 + 4x2 = 0
-3 + 11x + 0 = 8
-3 + 11x = 8

Solving
-3 + 11x = 8

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 11x = 8 + 3

Combine like terms: -3 + 3 = 0
0 + 11x = 8 + 3
11x = 8 + 3

Combine like terms: 8 + 3 = 11
11x = 11

Divide each side by '11'.
x = 1

Simplifying
x = 1

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