3(2x-1)+10(x+2)=56x+36

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Solution for 3(2x-1)+10(x+2)=56x+36 equation:


Simplifying
3(2x + -1) + 10(x + 2) = 56x + 36

Reorder the terms:
3(-1 + 2x) + 10(x + 2) = 56x + 36
(-1 * 3 + 2x * 3) + 10(x + 2) = 56x + 36
(-3 + 6x) + 10(x + 2) = 56x + 36

Reorder the terms:
-3 + 6x + 10(2 + x) = 56x + 36
-3 + 6x + (2 * 10 + x * 10) = 56x + 36
-3 + 6x + (20 + 10x) = 56x + 36

Reorder the terms:
-3 + 20 + 6x + 10x = 56x + 36

Combine like terms: -3 + 20 = 17
17 + 6x + 10x = 56x + 36

Combine like terms: 6x + 10x = 16x
17 + 16x = 56x + 36

Reorder the terms:
17 + 16x = 36 + 56x

Solving
17 + 16x = 36 + 56x

Solving for variable 'x'.

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

Add '-56x' to each side of the equation.
17 + 16x + -56x = 36 + 56x + -56x

Combine like terms: 16x + -56x = -40x
17 + -40x = 36 + 56x + -56x

Combine like terms: 56x + -56x = 0
17 + -40x = 36 + 0
17 + -40x = 36

Add '-17' to each side of the equation.
17 + -17 + -40x = 36 + -17

Combine like terms: 17 + -17 = 0
0 + -40x = 36 + -17
-40x = 36 + -17

Combine like terms: 36 + -17 = 19
-40x = 19

Divide each side by '-40'.
x = -0.475

Simplifying
x = -0.475

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