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

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


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

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

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

Remove parenthesis around (5 + 2x)
-6 + 3x + 5 + 2x = x + 7

Reorder the terms:
-6 + 5 + 3x + 2x = x + 7

Combine like terms: -6 + 5 = -1
-1 + 3x + 2x = x + 7

Combine like terms: 3x + 2x = 5x
-1 + 5x = x + 7

Reorder the terms:
-1 + 5x = 7 + x

Solving
-1 + 5x = 7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-1 + 5x + -1x = 7 + x + -1x

Combine like terms: 5x + -1x = 4x
-1 + 4x = 7 + x + -1x

Combine like terms: x + -1x = 0
-1 + 4x = 7 + 0
-1 + 4x = 7

Add '1' to each side of the equation.
-1 + 1 + 4x = 7 + 1

Combine like terms: -1 + 1 = 0
0 + 4x = 7 + 1
4x = 7 + 1

Combine like terms: 7 + 1 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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