4(x-2)+5(2x-1)=15

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Solution for 4(x-2)+5(2x-1)=15 equation:


Simplifying
4(x + -2) + 5(2x + -1) = 15

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

Reorder the terms:
-8 + 4x + 5(-1 + 2x) = 15
-8 + 4x + (-1 * 5 + 2x * 5) = 15
-8 + 4x + (-5 + 10x) = 15

Reorder the terms:
-8 + -5 + 4x + 10x = 15

Combine like terms: -8 + -5 = -13
-13 + 4x + 10x = 15

Combine like terms: 4x + 10x = 14x
-13 + 14x = 15

Solving
-13 + 14x = 15

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 + 14x = 15 + 13

Combine like terms: -13 + 13 = 0
0 + 14x = 15 + 13
14x = 15 + 13

Combine like terms: 15 + 13 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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