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

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


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

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

Reorder the terms:
-7 + 7x + 2(2 + x) = 3x
-7 + 7x + (2 * 2 + x * 2) = 3x
-7 + 7x + (4 + 2x) = 3x

Reorder the terms:
-7 + 4 + 7x + 2x = 3x

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

Combine like terms: 7x + 2x = 9x
-3 + 9x = 3x

Solving
-3 + 9x = 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.
-3 + 9x + -3x = 3x + -3x

Combine like terms: 9x + -3x = 6x
-3 + 6x = 3x + -3x

Combine like terms: 3x + -3x = 0
-3 + 6x = 0

Add '3' to each side of the equation.
-3 + 3 + 6x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = 0 + 3
6x = 0 + 3

Combine like terms: 0 + 3 = 3
6x = 3

Divide each side by '6'.
x = 0.5

Simplifying
x = 0.5

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