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

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


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

Reorder the terms:
3x + -1(5 + x) = 4 + -1(4x + -3)
3x + (5 * -1 + x * -1) = 4 + -1(4x + -3)
3x + (-5 + -1x) = 4 + -1(4x + -3)

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

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

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

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

Solving
-5 + 2x = 7 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-5 + 2x + 4x = 7 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-5 + 6x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
-5 + 6x = 7 + 0
-5 + 6x = 7

Add '5' to each side of the equation.
-5 + 5 + 6x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 6x = 7 + 5
6x = 7 + 5

Combine like terms: 7 + 5 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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