4(x-2)+3(x+6)=45

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Solution for 4(x-2)+3(x+6)=45 equation: 


Simplifying
4(x + -2) + 3(x + 6) = 45

Reorder the terms:
4(-2 + x) + 3(x + 6) = 45
(-2 * 4 + x * 4) + 3(x + 6) = 45
(-8 + 4x) + 3(x + 6) = 45

Reorder the terms:
-8 + 4x + 3(6 + x) = 45
-8 + 4x + (6 * 3 + x * 3) = 45
-8 + 4x + (18 + 3x) = 45

Reorder the terms:
-8 + 18 + 4x + 3x = 45

Combine like terms: -8 + 18 = 10
10 + 4x + 3x = 45

Combine like terms: 4x + 3x = 7x
10 + 7x = 45

Solving
10 + 7x = 45

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 7x = 45 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = 45 + -10
7x = 45 + -10

Combine like terms: 45 + -10 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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