30-5(2x-1)+3(5+2x)=105-15x

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Solution for 30-5(2x-1)+3(5+2x)=105-15x equation:


Simplifying
30 + -5(2x + -1) + 3(5 + 2x) = 105 + -15x

Reorder the terms:
30 + -5(-1 + 2x) + 3(5 + 2x) = 105 + -15x
30 + (-1 * -5 + 2x * -5) + 3(5 + 2x) = 105 + -15x
30 + (5 + -10x) + 3(5 + 2x) = 105 + -15x
30 + 5 + -10x + (5 * 3 + 2x * 3) = 105 + -15x
30 + 5 + -10x + (15 + 6x) = 105 + -15x

Reorder the terms:
30 + 5 + 15 + -10x + 6x = 105 + -15x

Combine like terms: 30 + 5 = 35
35 + 15 + -10x + 6x = 105 + -15x

Combine like terms: 35 + 15 = 50
50 + -10x + 6x = 105 + -15x

Combine like terms: -10x + 6x = -4x
50 + -4x = 105 + -15x

Solving
50 + -4x = 105 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
50 + -4x + 15x = 105 + -15x + 15x

Combine like terms: -4x + 15x = 11x
50 + 11x = 105 + -15x + 15x

Combine like terms: -15x + 15x = 0
50 + 11x = 105 + 0
50 + 11x = 105

Add '-50' to each side of the equation.
50 + -50 + 11x = 105 + -50

Combine like terms: 50 + -50 = 0
0 + 11x = 105 + -50
11x = 105 + -50

Combine like terms: 105 + -50 = 55
11x = 55

Divide each side by '11'.
x = 5

Simplifying
x = 5

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