-8(x-5)+x=3(7-x)

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Solution for -8(x-5)+x=3(7-x) equation: 


Simplifying
-8(x + -5) + x = 3(7 + -1x)

Reorder the terms:
-8(-5 + x) + x = 3(7 + -1x)
(-5 * -8 + x * -8) + x = 3(7 + -1x)
(40 + -8x) + x = 3(7 + -1x)

Combine like terms: -8x + x = -7x
40 + -7x = 3(7 + -1x)
40 + -7x = (7 * 3 + -1x * 3)
40 + -7x = (21 + -3x)

Solving
40 + -7x = 21 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
40 + -7x + 3x = 21 + -3x + 3x

Combine like terms: -7x + 3x = -4x
40 + -4x = 21 + -3x + 3x

Combine like terms: -3x + 3x = 0
40 + -4x = 21 + 0
40 + -4x = 21

Add '-40' to each side of the equation.
40 + -40 + -4x = 21 + -40

Combine like terms: 40 + -40 = 0
0 + -4x = 21 + -40
-4x = 21 + -40

Combine like terms: 21 + -40 = -19
-4x = -19

Divide each side by '-4'.
x = 4.75

Simplifying
x = 4.75

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