Help in Algebra Equation!!?

Question

Its about find the X

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

p.s. Show the steps please~thanks

Answer 1

x = - 3

Simplifying

x + -1(5 + -3x) = 7x + 4

x + (5 * -1 + -3x * -1) = 7x + 4

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

Reorder the terms:

-5 + x + 3x = 7x + 4

Combine like terms: x + 3x = 4x

-5 + 4x = 7x + 4

Reorder the terms:

-5 + 4x = 4 + 7x

Solving

-5 + 4x = 4 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.

-5 + 4x + -7x = 4 + 7x + -7x

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

-5 + -3x = 4 + 7x + -7x

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

-5 + -3x = 4 + 0

-5 + -3x = 4

Add '5' to each side of the equation.

-5 + 5 + -3x = 4 + 5

Combine like terms: -5 + 5 = 0

0 + -3x = 4 + 5

-3x = 4 + 5

Combine like terms: 4 + 5 = 9

-3x = 9

Divide each side by '-3'.

x = -3

Simplifying

x = -3

Answer 2

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

Multiply out:

x - 5 + 3x = 7x + 4

Group like terms:

x + 3x - 7x = 4 + 5

-3x = 9

x = -3.

Check:

-3 - (5 - 3(-3) = 7(-3) + 4

-3 - (5 + 9) = -21 + 4

-3 - 14 = -21 + 4

-17 = -17

:)

I hope that helps.

me07. :)