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

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


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

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

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

Combine like terms: 5x + -1x = 4x
-3 + 4x = 7 + 2(1x + 2)

Reorder the terms:
-3 + 4x = 7 + 2(2 + 1x)
-3 + 4x = 7 + (2 * 2 + 1x * 2)
-3 + 4x = 7 + (4 + 2x)

Combine like terms: 7 + 4 = 11
-3 + 4x = 11 + 2x

Solving
-3 + 4x = 11 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + 4x + -2x = 11 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-3 + 2x = 11 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 2x = 11 + 0
-3 + 2x = 11

Add '3' to each side of the equation.
-3 + 3 + 2x = 11 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 11 + 3
2x = 11 + 3

Combine like terms: 11 + 3 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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