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

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Solution for 26-(x+6)=7x-4 equation:


Simplifying
26 + -1(x + 6) = 7x + -4

Reorder the terms:
26 + -1(6 + x) = 7x + -4
26 + (6 * -1 + x * -1) = 7x + -4
26 + (-6 + -1x) = 7x + -4

Combine like terms: 26 + -6 = 20
20 + -1x = 7x + -4

Reorder the terms:
20 + -1x = -4 + 7x

Solving
20 + -1x = -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.
20 + -1x + -7x = -4 + 7x + -7x

Combine like terms: -1x + -7x = -8x
20 + -8x = -4 + 7x + -7x

Combine like terms: 7x + -7x = 0
20 + -8x = -4 + 0
20 + -8x = -4

Add '-20' to each side of the equation.
20 + -20 + -8x = -4 + -20

Combine like terms: 20 + -20 = 0
0 + -8x = -4 + -20
-8x = -4 + -20

Combine like terms: -4 + -20 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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