(4x-5)+3(x-2)=10

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Solution for (4x-5)+3(x-2)=10 equation: 


Simplifying
(4x + -5) + 3(x + -2) = 10

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

Remove parenthesis around (-5 + 4x)
-5 + 4x + 3(x + -2) = 10

Reorder the terms:
-5 + 4x + 3(-2 + x) = 10
-5 + 4x + (-2 * 3 + x * 3) = 10
-5 + 4x + (-6 + 3x) = 10

Reorder the terms:
-5 + -6 + 4x + 3x = 10

Combine like terms: -5 + -6 = -11
-11 + 4x + 3x = 10

Combine like terms: 4x + 3x = 7x
-11 + 7x = 10

Solving
-11 + 7x = 10

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 7x = 10 + 11

Combine like terms: -11 + 11 = 0
0 + 7x = 10 + 11
7x = 10 + 11

Combine like terms: 10 + 11 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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