4+(2x-5)=13-(3x+7)

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Solution for 4+(2x-5)=13-(3x+7) equation:


Simplifying
4 + (2x + -5) = 13 + -1(3x + 7)

Reorder the terms:
4 + (-5 + 2x) = 13 + -1(3x + 7)

Remove parenthesis around (-5 + 2x)
4 + -5 + 2x = 13 + -1(3x + 7)

Combine like terms: 4 + -5 = -1
-1 + 2x = 13 + -1(3x + 7)

Reorder the terms:
-1 + 2x = 13 + -1(7 + 3x)
-1 + 2x = 13 + (7 * -1 + 3x * -1)
-1 + 2x = 13 + (-7 + -3x)

Combine like terms: 13 + -7 = 6
-1 + 2x = 6 + -3x

Solving
-1 + 2x = 6 + -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.
-1 + 2x + 3x = 6 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
-1 + 5x = 6 + 0
-1 + 5x = 6

Add '1' to each side of the equation.
-1 + 1 + 5x = 6 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 6 + 1
5x = 6 + 1

Combine like terms: 6 + 1 = 7
5x = 7

Divide each side by '5'.
x = 1.4

Simplifying
x = 1.4

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