3x+4=5(x-5)

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


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

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

Reorder the terms:
4 + 3x = 5(-5 + x)
4 + 3x = (-5 * 5 + x * 5)
4 + 3x = (-25 + 5x)

Solving
4 + 3x = -25 + 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.
4 + 3x + -5x = -25 + 5x + -5x

Combine like terms: 3x + -5x = -2x
4 + -2x = -25 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -2x = -25 + 0
4 + -2x = -25

Add '-4' to each side of the equation.
4 + -4 + -2x = -25 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = -25 + -4
-2x = -25 + -4

Combine like terms: -25 + -4 = -29
-2x = -29

Divide each side by '-2'.
x = 14.5

Simplifying
x = 14.5

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