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

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


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

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

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

Combine like terms: -21 + 5 = -16
-16 + 3x = 5(x + 4)

Reorder the terms:
-16 + 3x = 5(4 + x)
-16 + 3x = (4 * 5 + x * 5)
-16 + 3x = (20 + 5x)

Solving
-16 + 3x = 20 + 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.
-16 + 3x + -5x = 20 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-16 + -2x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + -2x = 20 + 0
-16 + -2x = 20

Add '16' to each side of the equation.
-16 + 16 + -2x = 20 + 16

Combine like terms: -16 + 16 = 0
0 + -2x = 20 + 16
-2x = 20 + 16

Combine like terms: 20 + 16 = 36
-2x = 36

Divide each side by '-2'.
x = -18

Simplifying
x = -18

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