2(x-24)+3(x-4)=35

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Solution for 2(x-24)+3(x-4)=35 equation: 


Simplifying
2(x + -24) + 3(x + -4) = 35

Reorder the terms:
2(-24 + x) + 3(x + -4) = 35
(-24 * 2 + x * 2) + 3(x + -4) = 35
(-48 + 2x) + 3(x + -4) = 35

Reorder the terms:
-48 + 2x + 3(-4 + x) = 35
-48 + 2x + (-4 * 3 + x * 3) = 35
-48 + 2x + (-12 + 3x) = 35

Reorder the terms:
-48 + -12 + 2x + 3x = 35

Combine like terms: -48 + -12 = -60
-60 + 2x + 3x = 35

Combine like terms: 2x + 3x = 5x
-60 + 5x = 35

Solving
-60 + 5x = 35

Solving for variable 'x'.

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

Add '60' to each side of the equation.
-60 + 60 + 5x = 35 + 60

Combine like terms: -60 + 60 = 0
0 + 5x = 35 + 60
5x = 35 + 60

Combine like terms: 35 + 60 = 95
5x = 95

Divide each side by '5'.
x = 19

Simplifying
x = 19

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