7x-(4x+6)=5x-8

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Solution for 7x-(4x+6)=5x-8 equation:


Simplifying
7x + -1(4x + 6) = 5x + -8

Reorder the terms:
7x + -1(6 + 4x) = 5x + -8
7x + (6 * -1 + 4x * -1) = 5x + -8
7x + (-6 + -4x) = 5x + -8

Reorder the terms:
-6 + 7x + -4x = 5x + -8

Combine like terms: 7x + -4x = 3x
-6 + 3x = 5x + -8

Reorder the terms:
-6 + 3x = -8 + 5x

Solving
-6 + 3x = -8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6 + 3x + -5x = -8 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-6 + -2x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -2x = -8 + 0
-6 + -2x = -8

Add '6' to each side of the equation.
-6 + 6 + -2x = -8 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -8 + 6
-2x = -8 + 6

Combine like terms: -8 + 6 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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