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

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Solution for 5(x-2)-3(x+1)=4(3+2) equation: 


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

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

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

Reorder the terms:
-10 + -3 + 5x + -3x = 4(3 + 2)

Combine like terms: -10 + -3 = -13
-13 + 5x + -3x = 4(3 + 2)

Combine like terms: 5x + -3x = 2x
-13 + 2x = 4(3 + 2)

Combine like terms: 3 + 2 = 5
-13 + 2x = 4(5)

Multiply 4 * 5
-13 + 2x = 20

Solving
-13 + 2x = 20

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 2x = 20 + 13

Combine like terms: -13 + 13 = 0
0 + 2x = 20 + 13
2x = 20 + 13

Combine like terms: 20 + 13 = 33
2x = 33

Divide each side by '2'.
x = 16.5

Simplifying
x = 16.5

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