3(5x+3)+4(3x-3)=105

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Solution for 3(5x+3)+4(3x-3)=105 equation:


Simplifying
3(5x + 3) + 4(3x + -3) = 105

Reorder the terms:
3(3 + 5x) + 4(3x + -3) = 105
(3 * 3 + 5x * 3) + 4(3x + -3) = 105
(9 + 15x) + 4(3x + -3) = 105

Reorder the terms:
9 + 15x + 4(-3 + 3x) = 105
9 + 15x + (-3 * 4 + 3x * 4) = 105
9 + 15x + (-12 + 12x) = 105

Reorder the terms:
9 + -12 + 15x + 12x = 105

Combine like terms: 9 + -12 = -3
-3 + 15x + 12x = 105

Combine like terms: 15x + 12x = 27x
-3 + 27x = 105

Solving
-3 + 27x = 105

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 27x = 105 + 3

Combine like terms: -3 + 3 = 0
0 + 27x = 105 + 3
27x = 105 + 3

Combine like terms: 105 + 3 = 108
27x = 108

Divide each side by '27'.
x = 4

Simplifying
x = 4

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