10(x+4x)=7(x-3)

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Solution for 10(x+4x)=7(x-3) equation:


Simplifying
10(x + 4x) = 7(x + -3)

Combine like terms: x + 4x = 5x
10(5x) = 7(x + -3)

Remove parenthesis around (5x)
10 * 5x = 7(x + -3)

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

Reorder the terms:
50x = 7(-3 + x)
50x = (-3 * 7 + x * 7)
50x = (-21 + 7x)

Solving
50x = -21 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
50x + -7x = -21 + 7x + -7x

Combine like terms: 50x + -7x = 43x
43x = -21 + 7x + -7x

Combine like terms: 7x + -7x = 0
43x = -21 + 0
43x = -21

Divide each side by '43'.
x = -0.488372093

Simplifying
x = -0.488372093

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