3(x+7)=-3(4x-9)+5x

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Solution for 3(x+7)=-3(4x-9)+5x equation:


Simplifying
3(x + 7) = -3(4x + -9) + 5x

Reorder the terms:
3(7 + x) = -3(4x + -9) + 5x
(7 * 3 + x * 3) = -3(4x + -9) + 5x
(21 + 3x) = -3(4x + -9) + 5x

Reorder the terms:
21 + 3x = -3(-9 + 4x) + 5x
21 + 3x = (-9 * -3 + 4x * -3) + 5x
21 + 3x = (27 + -12x) + 5x

Combine like terms: -12x + 5x = -7x
21 + 3x = 27 + -7x

Solving
21 + 3x = 27 + -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.
21 + 3x + 7x = 27 + -7x + 7x

Combine like terms: 3x + 7x = 10x
21 + 10x = 27 + -7x + 7x

Combine like terms: -7x + 7x = 0
21 + 10x = 27 + 0
21 + 10x = 27

Add '-21' to each side of the equation.
21 + -21 + 10x = 27 + -21

Combine like terms: 21 + -21 = 0
0 + 10x = 27 + -21
10x = 27 + -21

Combine like terms: 27 + -21 = 6
10x = 6

Divide each side by '10'.
x = 0.6

Simplifying
x = 0.6

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