3(5x+2)+2(2x-3)=3x-48

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Solution for 3(5x+2)+2(2x-3)=3x-48 equation: 


Simplifying
3(5x + 2) + 2(2x + -3) = 3x + -48

Reorder the terms:
3(2 + 5x) + 2(2x + -3) = 3x + -48
(2 * 3 + 5x * 3) + 2(2x + -3) = 3x + -48
(6 + 15x) + 2(2x + -3) = 3x + -48

Reorder the terms:
6 + 15x + 2(-3 + 2x) = 3x + -48
6 + 15x + (-3 * 2 + 2x * 2) = 3x + -48
6 + 15x + (-6 + 4x) = 3x + -48

Reorder the terms:
6 + -6 + 15x + 4x = 3x + -48

Combine like terms: 6 + -6 = 0
0 + 15x + 4x = 3x + -48
15x + 4x = 3x + -48

Combine like terms: 15x + 4x = 19x
19x = 3x + -48

Reorder the terms:
19x = -48 + 3x

Solving
19x = -48 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
19x + -3x = -48 + 3x + -3x

Combine like terms: 19x + -3x = 16x
16x = -48 + 3x + -3x

Combine like terms: 3x + -3x = 0
16x = -48 + 0
16x = -48

Divide each side by '16'.
x = -3

Simplifying
x = -3

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