5(x-5)+10=4(x+4)

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Solution for 5(x-5)+10=4(x+4) equation:


Simplifying
5(x + -5) + 10 = 4(x + 4)

Reorder the terms:
5(-5 + x) + 10 = 4(x + 4)
(-5 * 5 + x * 5) + 10 = 4(x + 4)
(-25 + 5x) + 10 = 4(x + 4)

Reorder the terms:
-25 + 10 + 5x = 4(x + 4)

Combine like terms: -25 + 10 = -15
-15 + 5x = 4(x + 4)

Reorder the terms:
-15 + 5x = 4(4 + x)
-15 + 5x = (4 * 4 + x * 4)
-15 + 5x = (16 + 4x)

Solving
-15 + 5x = 16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-15 + 5x + -4x = 16 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-15 + 1x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + 1x = 16 + 0
-15 + 1x = 16

Add '15' to each side of the equation.
-15 + 15 + 1x = 16 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = 16 + 15
1x = 16 + 15

Combine like terms: 16 + 15 = 31
1x = 31

Divide each side by '1'.
x = 31

Simplifying
x = 31

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