5(2x+6)=-4(-5x-2x)+3x

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Solution for 5(2x+6)=-4(-5x-2x)+3x equation:


Simplifying
5(2x + 6) = -4(-5x + -2x) + 3x

Reorder the terms:
5(6 + 2x) = -4(-5x + -2x) + 3x
(6 * 5 + 2x * 5) = -4(-5x + -2x) + 3x
(30 + 10x) = -4(-5x + -2x) + 3x

Combine like terms: -5x + -2x = -7x
30 + 10x = -4(-7x) + 3x

Remove parenthesis around (-7x)
30 + 10x = -4 * -7x + 3x

Multiply -4 * -7
30 + 10x = 28x + 3x

Combine like terms: 28x + 3x = 31x
30 + 10x = 31x

Solving
30 + 10x = 31x

Solving for variable 'x'.

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

Add '-31x' to each side of the equation.
30 + 10x + -31x = 31x + -31x

Combine like terms: 10x + -31x = -21x
30 + -21x = 31x + -31x

Combine like terms: 31x + -31x = 0
30 + -21x = 0

Add '-30' to each side of the equation.
30 + -30 + -21x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -21x = 0 + -30
-21x = 0 + -30

Combine like terms: 0 + -30 = -30
-21x = -30

Divide each side by '-21'.
x = 1.428571429

Simplifying
x = 1.428571429

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