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

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


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

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

Reorder the terms:
-15 + 3x + -4(1 + 2x) = 5
-15 + 3x + (1 * -4 + 2x * -4) = 5
-15 + 3x + (-4 + -8x) = 5

Reorder the terms:
-15 + -4 + 3x + -8x = 5

Combine like terms: -15 + -4 = -19
-19 + 3x + -8x = 5

Combine like terms: 3x + -8x = -5x
-19 + -5x = 5

Solving
-19 + -5x = 5

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + -5x = 5 + 19

Combine like terms: -19 + 19 = 0
0 + -5x = 5 + 19
-5x = 5 + 19

Combine like terms: 5 + 19 = 24
-5x = 24

Divide each side by '-5'.
x = -4.8

Simplifying
x = -4.8

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