3(x-5)=7x+16

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Solution for 3(x-5)=7x+16 equation:


Simplifying
3(x + -5) = 7x + 16

Reorder the terms:
3(-5 + x) = 7x + 16
(-5 * 3 + x * 3) = 7x + 16
(-15 + 3x) = 7x + 16

Reorder the terms:
-15 + 3x = 16 + 7x

Solving
-15 + 3x = 16 + 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.
-15 + 3x + -7x = 16 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-15 + -4x = 16 + 7x + -7x

Combine like terms: 7x + -7x = 0
-15 + -4x = 16 + 0
-15 + -4x = 16

Add '15' to each side of the equation.
-15 + 15 + -4x = 16 + 15

Combine like terms: -15 + 15 = 0
0 + -4x = 16 + 15
-4x = 16 + 15

Combine like terms: 16 + 15 = 31
-4x = 31

Divide each side by '-4'.
x = -7.75

Simplifying
x = -7.75

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