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

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


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

Reorder the terms:
3(-7 + x) = 5(x + 6)
(-7 * 3 + x * 3) = 5(x + 6)
(-21 + 3x) = 5(x + 6)

Reorder the terms:
-21 + 3x = 5(6 + x)
-21 + 3x = (6 * 5 + x * 5)
-21 + 3x = (30 + 5x)

Solving
-21 + 3x = 30 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-21 + 3x + -5x = 30 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-21 + -2x = 30 + 0
-21 + -2x = 30

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

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

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

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

Simplifying
x = -25.5

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