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

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


Simplifying
4(2x + 1) + 5(x + -2) = 0

Reorder the terms:
4(1 + 2x) + 5(x + -2) = 0
(1 * 4 + 2x * 4) + 5(x + -2) = 0
(4 + 8x) + 5(x + -2) = 0

Reorder the terms:
4 + 8x + 5(-2 + x) = 0
4 + 8x + (-2 * 5 + x * 5) = 0
4 + 8x + (-10 + 5x) = 0

Reorder the terms:
4 + -10 + 8x + 5x = 0

Combine like terms: 4 + -10 = -6
-6 + 8x + 5x = 0

Combine like terms: 8x + 5x = 13x
-6 + 13x = 0

Solving
-6 + 13x = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 13x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 13x = 0 + 6
13x = 0 + 6

Combine like terms: 0 + 6 = 6
13x = 6

Divide each side by '13'.
x = 0.4615384615

Simplifying
x = 0.4615384615

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