5(x+6)=3(x-7)

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Solution for 5(x+6)=3(x-7) equation:


Simplifying
5(x + 6) = 3(x + -7)

Reorder the terms:
5(6 + x) = 3(x + -7)
(6 * 5 + x * 5) = 3(x + -7)
(30 + 5x) = 3(x + -7)

Reorder the terms:
30 + 5x = 3(-7 + x)
30 + 5x = (-7 * 3 + x * 3)
30 + 5x = (-21 + 3x)

Solving
30 + 5x = -21 + 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 + 5x + -3x = -21 + 3x + -3x

Combine like terms: 5x + -3x = 2x
30 + 2x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
30 + 2x = -21 + 0
30 + 2x = -21

Add '-30' to each side of the equation.
30 + -30 + 2x = -21 + -30

Combine like terms: 30 + -30 = 0
0 + 2x = -21 + -30
2x = -21 + -30

Combine like terms: -21 + -30 = -51
2x = -51

Divide each side by '2'.
x = -25.5

Simplifying
x = -25.5

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