5(5x+3)2+7=3x+5+7x-2

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


Simplifying
5(5x + 3) * 2 + 7 = 3x + 5 + 7x + -2

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

Reorder the terms for easier multiplication:
5 * 2(3 + 5x) + 7 = 3x + 5 + 7x + -2

Multiply 5 * 2
10(3 + 5x) + 7 = 3x + 5 + 7x + -2
(3 * 10 + 5x * 10) + 7 = 3x + 5 + 7x + -2
(30 + 50x) + 7 = 3x + 5 + 7x + -2

Reorder the terms:
30 + 7 + 50x = 3x + 5 + 7x + -2

Combine like terms: 30 + 7 = 37
37 + 50x = 3x + 5 + 7x + -2

Reorder the terms:
37 + 50x = 5 + -2 + 3x + 7x

Combine like terms: 5 + -2 = 3
37 + 50x = 3 + 3x + 7x

Combine like terms: 3x + 7x = 10x
37 + 50x = 3 + 10x

Solving
37 + 50x = 3 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
37 + 50x + -10x = 3 + 10x + -10x

Combine like terms: 50x + -10x = 40x
37 + 40x = 3 + 10x + -10x

Combine like terms: 10x + -10x = 0
37 + 40x = 3 + 0
37 + 40x = 3

Add '-37' to each side of the equation.
37 + -37 + 40x = 3 + -37

Combine like terms: 37 + -37 = 0
0 + 40x = 3 + -37
40x = 3 + -37

Combine like terms: 3 + -37 = -34
40x = -34

Divide each side by '40'.
x = -0.85

Simplifying
x = -0.85

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