3(2x-5)+4=5(10-x)+5

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Solution for 3(2x-5)+4=5(10-x)+5 equation: 


Simplifying
3(2x + -5) + 4 = 5(10 + -1x) + 5

Reorder the terms:
3(-5 + 2x) + 4 = 5(10 + -1x) + 5
(-5 * 3 + 2x * 3) + 4 = 5(10 + -1x) + 5
(-15 + 6x) + 4 = 5(10 + -1x) + 5

Reorder the terms:
-15 + 4 + 6x = 5(10 + -1x) + 5

Combine like terms: -15 + 4 = -11
-11 + 6x = 5(10 + -1x) + 5
-11 + 6x = (10 * 5 + -1x * 5) + 5
-11 + 6x = (50 + -5x) + 5

Reorder the terms:
-11 + 6x = 50 + 5 + -5x

Combine like terms: 50 + 5 = 55
-11 + 6x = 55 + -5x

Solving
-11 + 6x = 55 + -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.
-11 + 6x + 5x = 55 + -5x + 5x

Combine like terms: 6x + 5x = 11x
-11 + 11x = 55 + -5x + 5x

Combine like terms: -5x + 5x = 0
-11 + 11x = 55 + 0
-11 + 11x = 55

Add '11' to each side of the equation.
-11 + 11 + 11x = 55 + 11

Combine like terms: -11 + 11 = 0
0 + 11x = 55 + 11
11x = 55 + 11

Combine like terms: 55 + 11 = 66
11x = 66

Divide each side by '11'.
x = 6

Simplifying
x = 6

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