5(x-1)+10(x-2)=4

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Solution for 5(x-1)+10(x-2)=4 equation:


Simplifying
5(x + -1) + 10(x + -2) = 4

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

Reorder the terms:
-5 + 5x + 10(-2 + x) = 4
-5 + 5x + (-2 * 10 + x * 10) = 4
-5 + 5x + (-20 + 10x) = 4

Reorder the terms:
-5 + -20 + 5x + 10x = 4

Combine like terms: -5 + -20 = -25
-25 + 5x + 10x = 4

Combine like terms: 5x + 10x = 15x
-25 + 15x = 4

Solving
-25 + 15x = 4

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 15x = 4 + 25

Combine like terms: -25 + 25 = 0
0 + 15x = 4 + 25
15x = 4 + 25

Combine like terms: 4 + 25 = 29
15x = 29

Divide each side by '15'.
x = 1.933333333

Simplifying
x = 1.933333333

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