4(x-5)2=x+3

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


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

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

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

Multiply 4 * 2
8(-5 + x) = x + 3
(-5 * 8 + x * 8) = x + 3
(-40 + 8x) = x + 3

Reorder the terms:
-40 + 8x = 3 + x

Solving
-40 + 8x = 3 + 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.
-40 + 8x + -1x = 3 + x + -1x

Combine like terms: 8x + -1x = 7x
-40 + 7x = 3 + x + -1x

Combine like terms: x + -1x = 0
-40 + 7x = 3 + 0
-40 + 7x = 3

Add '40' to each side of the equation.
-40 + 40 + 7x = 3 + 40

Combine like terms: -40 + 40 = 0
0 + 7x = 3 + 40
7x = 3 + 40

Combine like terms: 3 + 40 = 43
7x = 43

Divide each side by '7'.
x = 6.142857143

Simplifying
x = 6.142857143

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