(2x-3)*(x+5)+7=(x-4)*(2x-1)+2

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Solution for (2x-3)*(x+5)+7=(x-4)*(2x-1)+2 equation: 


Simplifying
(2x + -3)(x + 5) + 7 = (x + -4)(2x + -1) + 2

Reorder the terms:
(-3 + 2x)(x + 5) + 7 = (x + -4)(2x + -1) + 2

Reorder the terms:
(-3 + 2x)(5 + x) + 7 = (x + -4)(2x + -1) + 2

Multiply (-3 + 2x) * (5 + x)
(-3(5 + x) + 2x * (5 + x)) + 7 = (x + -4)(2x + -1) + 2
((5 * -3 + x * -3) + 2x * (5 + x)) + 7 = (x + -4)(2x + -1) + 2
((-15 + -3x) + 2x * (5 + x)) + 7 = (x + -4)(2x + -1) + 2
(-15 + -3x + (5 * 2x + x * 2x)) + 7 = (x + -4)(2x + -1) + 2
(-15 + -3x + (10x + 2x2)) + 7 = (x + -4)(2x + -1) + 2

Combine like terms: -3x + 10x = 7x
(-15 + 7x + 2x2) + 7 = (x + -4)(2x + -1) + 2

Reorder the terms:
-15 + 7 + 7x + 2x2 = (x + -4)(2x + -1) + 2

Combine like terms: -15 + 7 = -8
-8 + 7x + 2x2 = (x + -4)(2x + -1) + 2

Reorder the terms:
-8 + 7x + 2x2 = (-4 + x)(2x + -1) + 2

Reorder the terms:
-8 + 7x + 2x2 = (-4 + x)(-1 + 2x) + 2

Multiply (-4 + x) * (-1 + 2x)
-8 + 7x + 2x2 = (-4(-1 + 2x) + x(-1 + 2x)) + 2
-8 + 7x + 2x2 = ((-1 * -4 + 2x * -4) + x(-1 + 2x)) + 2
-8 + 7x + 2x2 = ((4 + -8x) + x(-1 + 2x)) + 2
-8 + 7x + 2x2 = (4 + -8x + (-1 * x + 2x * x)) + 2
-8 + 7x + 2x2 = (4 + -8x + (-1x + 2x2)) + 2

Combine like terms: -8x + -1x = -9x
-8 + 7x + 2x2 = (4 + -9x + 2x2) + 2

Reorder the terms:
-8 + 7x + 2x2 = 4 + 2 + -9x + 2x2

Combine like terms: 4 + 2 = 6
-8 + 7x + 2x2 = 6 + -9x + 2x2

Add '-2x2' to each side of the equation.
-8 + 7x + 2x2 + -2x2 = 6 + -9x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-8 + 7x + 0 = 6 + -9x + 2x2 + -2x2
-8 + 7x = 6 + -9x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-8 + 7x = 6 + -9x + 0
-8 + 7x = 6 + -9x

Solving
-8 + 7x = 6 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-8 + 7x + 9x = 6 + -9x + 9x

Combine like terms: 7x + 9x = 16x
-8 + 16x = 6 + -9x + 9x

Combine like terms: -9x + 9x = 0
-8 + 16x = 6 + 0
-8 + 16x = 6

Add '8' to each side of the equation.
-8 + 8 + 16x = 6 + 8

Combine like terms: -8 + 8 = 0
0 + 16x = 6 + 8
16x = 6 + 8

Combine like terms: 6 + 8 = 14
16x = 14

Divide each side by '16'.
x = 0.875

Simplifying
x = 0.875

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