3(2x+5)+2(1-x)=7+3x

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Solution for 3(2x+5)+2(1-x)=7+3x equation: 


Simplifying
3(2x + 5) + 2(1 + -1x) = 7 + 3x

Reorder the terms:
3(5 + 2x) + 2(1 + -1x) = 7 + 3x
(5 * 3 + 2x * 3) + 2(1 + -1x) = 7 + 3x
(15 + 6x) + 2(1 + -1x) = 7 + 3x
15 + 6x + (1 * 2 + -1x * 2) = 7 + 3x
15 + 6x + (2 + -2x) = 7 + 3x

Reorder the terms:
15 + 2 + 6x + -2x = 7 + 3x

Combine like terms: 15 + 2 = 17
17 + 6x + -2x = 7 + 3x

Combine like terms: 6x + -2x = 4x
17 + 4x = 7 + 3x

Solving
17 + 4x = 7 + 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.
17 + 4x + -3x = 7 + 3x + -3x

Combine like terms: 4x + -3x = 1x
17 + 1x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
17 + 1x = 7 + 0
17 + 1x = 7

Add '-17' to each side of the equation.
17 + -17 + 1x = 7 + -17

Combine like terms: 17 + -17 = 0
0 + 1x = 7 + -17
1x = 7 + -17

Combine like terms: 7 + -17 = -10
1x = -10

Divide each side by '1'.
x = -10

Simplifying
x = -10

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