26-2x=7(x-4)

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Solution for 26-2x=7(x-4) equation:


Simplifying
26 + -2x = 7(x + -4)

Reorder the terms:
26 + -2x = 7(-4 + x)
26 + -2x = (-4 * 7 + x * 7)
26 + -2x = (-28 + 7x)

Solving
26 + -2x = -28 + 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.
26 + -2x + -7x = -28 + 7x + -7x

Combine like terms: -2x + -7x = -9x
26 + -9x = -28 + 7x + -7x

Combine like terms: 7x + -7x = 0
26 + -9x = -28 + 0
26 + -9x = -28

Add '-26' to each side of the equation.
26 + -26 + -9x = -28 + -26

Combine like terms: 26 + -26 = 0
0 + -9x = -28 + -26
-9x = -28 + -26

Combine like terms: -28 + -26 = -54
-9x = -54

Divide each side by '-9'.
x = 6

Simplifying
x = 6

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