3(x-5)+3(3x+1)=45

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Solution for 3(x-5)+3(3x+1)=45 equation:


Simplifying
3(x + -5) + 3(3x + 1) = 45

Reorder the terms:
3(-5 + x) + 3(3x + 1) = 45
(-5 * 3 + x * 3) + 3(3x + 1) = 45
(-15 + 3x) + 3(3x + 1) = 45

Reorder the terms:
-15 + 3x + 3(1 + 3x) = 45
-15 + 3x + (1 * 3 + 3x * 3) = 45
-15 + 3x + (3 + 9x) = 45

Reorder the terms:
-15 + 3 + 3x + 9x = 45

Combine like terms: -15 + 3 = -12
-12 + 3x + 9x = 45

Combine like terms: 3x + 9x = 12x
-12 + 12x = 45

Solving
-12 + 12x = 45

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 12x = 45 + 12

Combine like terms: -12 + 12 = 0
0 + 12x = 45 + 12
12x = 45 + 12

Combine like terms: 45 + 12 = 57
12x = 57

Divide each side by '12'.
x = 4.75

Simplifying
x = 4.75

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