5-(4x+6)=5x+(7-4x)

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Solution for 5-(4x+6)=5x+(7-4x) equation:


Simplifying
5 + -1(4x + 6) = 5x + (7 + -4x)

Reorder the terms:
5 + -1(6 + 4x) = 5x + (7 + -4x)
5 + (6 * -1 + 4x * -1) = 5x + (7 + -4x)
5 + (-6 + -4x) = 5x + (7 + -4x)

Combine like terms: 5 + -6 = -1
-1 + -4x = 5x + (7 + -4x)

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

Reorder the terms:
-1 + -4x = 7 + 5x + -4x

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

Solving
-1 + -4x = 7 + 1x

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 + -4x + -1x = 7 + 1x + -1x

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

Combine like terms: 1x + -1x = 0
-1 + -5x = 7 + 0
-1 + -5x = 7

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

Combine like terms: -1 + 1 = 0
0 + -5x = 7 + 1
-5x = 7 + 1

Combine like terms: 7 + 1 = 8
-5x = 8

Divide each side by '-5'.
x = -1.6

Simplifying
x = -1.6

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