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

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


Simplifying
T = (4 + -5x)(2x + -8) + 2x + 3

Reorder the terms:
T = (4 + -5x)(-8 + 2x) + 2x + 3

Multiply (4 + -5x) * (-8 + 2x)
T = (4(-8 + 2x) + -5x * (-8 + 2x)) + 2x + 3
T = ((-8 * 4 + 2x * 4) + -5x * (-8 + 2x)) + 2x + 3
T = ((-32 + 8x) + -5x * (-8 + 2x)) + 2x + 3
T = (-32 + 8x + (-8 * -5x + 2x * -5x)) + 2x + 3
T = (-32 + 8x + (40x + -10x2)) + 2x + 3

Combine like terms: 8x + 40x = 48x
T = (-32 + 48x + -10x2) + 2x + 3

Reorder the terms:
T = -32 + 3 + 48x + 2x + -10x2

Combine like terms: -32 + 3 = -29
T = -29 + 48x + 2x + -10x2

Combine like terms: 48x + 2x = 50x
T = -29 + 50x + -10x2

Solving
T = -29 + 50x + -10x2

Solving for variable 'T'.

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

Simplifying
T = -29 + 50x + -10x2

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