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

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


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

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

Reorder the terms for easier multiplication:
5(3 + 4x) + -1(5x + -2)(4) = x
(3 * 5 + 4x * 5) + -1(5x + -2)(4) = x
(15 + 20x) + -1(5x + -2)(4) = x

Reorder the terms:
15 + 20x + -1(-2 + 5x)(4) = x

Reorder the terms for easier multiplication:
15 + 20x + -1 * 4(-2 + 5x) = x

Multiply -1 * 4
15 + 20x + -4(-2 + 5x) = x
15 + 20x + (-2 * -4 + 5x * -4) = x
15 + 20x + (8 + -20x) = x

Reorder the terms:
15 + 8 + 20x + -20x = x

Combine like terms: 15 + 8 = 23
23 + 20x + -20x = x

Combine like terms: 20x + -20x = 0
23 + 0 = x
23 = x

Solving
23 = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
23 + -1x = x + -1x

Combine like terms: x + -1x = 0
23 + -1x = 0

Add '-23' to each side of the equation.
23 + -23 + -1x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -1x = 0 + -23
-1x = 0 + -23

Combine like terms: 0 + -23 = -23
-1x = -23

Divide each side by '-1'.
x = 23

Simplifying
x = 23

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