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

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


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

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

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

Multiply -4 * 3
30 + 10x = -12 + 3x

Solving
30 + 10x = -12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
30 + 10x + -3x = -12 + 3x + -3x

Combine like terms: 10x + -3x = 7x
30 + 7x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
30 + 7x = -12 + 0
30 + 7x = -12

Add '-30' to each side of the equation.
30 + -30 + 7x = -12 + -30

Combine like terms: 30 + -30 = 0
0 + 7x = -12 + -30
7x = -12 + -30

Combine like terms: -12 + -30 = -42
7x = -42

Divide each side by '7'.
x = -6

Simplifying
x = -6

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