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

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


Simplifying
5(2x + -3) + -2(x + 4) = 0

Reorder the terms:
5(-3 + 2x) + -2(x + 4) = 0
(-3 * 5 + 2x * 5) + -2(x + 4) = 0
(-15 + 10x) + -2(x + 4) = 0

Reorder the terms:
-15 + 10x + -2(4 + x) = 0
-15 + 10x + (4 * -2 + x * -2) = 0
-15 + 10x + (-8 + -2x) = 0

Reorder the terms:
-15 + -8 + 10x + -2x = 0

Combine like terms: -15 + -8 = -23
-23 + 10x + -2x = 0

Combine like terms: 10x + -2x = 8x
-23 + 8x = 0

Solving
-23 + 8x = 0

Solving for variable 'x'.

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

Add '23' to each side of the equation.
-23 + 23 + 8x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 8x = 0 + 23
8x = 0 + 23

Combine like terms: 0 + 23 = 23
8x = 23

Divide each side by '8'.
x = 2.875

Simplifying
x = 2.875

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