26=-7x+5(x+8)

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Solution for 26=-7x+5(x+8) equation:


Simplifying
26 = -7x + 5(x + 8)

Reorder the terms:
26 = -7x + 5(8 + x)
26 = -7x + (8 * 5 + x * 5)
26 = -7x + (40 + 5x)

Reorder the terms:
26 = 40 + -7x + 5x

Combine like terms: -7x + 5x = -2x
26 = 40 + -2x

Solving
26 = 40 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
26 + 2x = 40 + -2x + 2x

Combine like terms: -2x + 2x = 0
26 + 2x = 40 + 0
26 + 2x = 40

Add '-26' to each side of the equation.
26 + -26 + 2x = 40 + -26

Combine like terms: 26 + -26 = 0
0 + 2x = 40 + -26
2x = 40 + -26

Combine like terms: 40 + -26 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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