4(2x-6)+3(x-2)=25

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Solution for 4(2x-6)+3(x-2)=25 equation:


Simplifying
4(2x + -6) + 3(x + -2) = 25

Reorder the terms:
4(-6 + 2x) + 3(x + -2) = 25
(-6 * 4 + 2x * 4) + 3(x + -2) = 25
(-24 + 8x) + 3(x + -2) = 25

Reorder the terms:
-24 + 8x + 3(-2 + x) = 25
-24 + 8x + (-2 * 3 + x * 3) = 25
-24 + 8x + (-6 + 3x) = 25

Reorder the terms:
-24 + -6 + 8x + 3x = 25

Combine like terms: -24 + -6 = -30
-30 + 8x + 3x = 25

Combine like terms: 8x + 3x = 11x
-30 + 11x = 25

Solving
-30 + 11x = 25

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 11x = 25 + 30

Combine like terms: -30 + 30 = 0
0 + 11x = 25 + 30
11x = 25 + 30

Combine like terms: 25 + 30 = 55
11x = 55

Divide each side by '11'.
x = 5

Simplifying
x = 5

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