3(4x)+7(5x)=2x+5

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


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

Remove parenthesis around (4x)
3 * 4x + 7(5x) = 2x + 5

Multiply 3 * 4
12x + 7(5x) = 2x + 5

Remove parenthesis around (5x)
12x + 7 * 5x = 2x + 5

Multiply 7 * 5
12x + 35x = 2x + 5

Combine like terms: 12x + 35x = 47x
47x = 2x + 5

Reorder the terms:
47x = 5 + 2x

Solving
47x = 5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
47x + -2x = 5 + 2x + -2x

Combine like terms: 47x + -2x = 45x
45x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
45x = 5 + 0
45x = 5

Divide each side by '45'.
x = 0.1111111111

Simplifying
x = 0.1111111111

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