2(x-5)+7=8x

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Solution for 2(x-5)+7=8x equation:


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

Reorder the terms:
2(-5 + x) + 7 = 8x
(-5 * 2 + x * 2) + 7 = 8x
(-10 + 2x) + 7 = 8x

Reorder the terms:
-10 + 7 + 2x = 8x

Combine like terms: -10 + 7 = -3
-3 + 2x = 8x

Solving
-3 + 2x = 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-3 + 2x + -8x = 8x + -8x

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

Combine like terms: 8x + -8x = 0
-3 + -6x = 0

Add '3' to each side of the equation.
-3 + 3 + -6x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -6x = 0 + 3
-6x = 0 + 3

Combine like terms: 0 + 3 = 3
-6x = 3

Divide each side by '-6'.
x = -0.5

Simplifying
x = -0.5

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