5(7-x)-3(x+4)=1

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Solution for 5(7-x)-3(x+4)=1 equation:


Simplifying
5(7 + -1x) + -3(x + 4) = 1
(7 * 5 + -1x * 5) + -3(x + 4) = 1
(35 + -5x) + -3(x + 4) = 1

Reorder the terms:
35 + -5x + -3(4 + x) = 1
35 + -5x + (4 * -3 + x * -3) = 1
35 + -5x + (-12 + -3x) = 1

Reorder the terms:
35 + -12 + -5x + -3x = 1

Combine like terms: 35 + -12 = 23
23 + -5x + -3x = 1

Combine like terms: -5x + -3x = -8x
23 + -8x = 1

Solving
23 + -8x = 1

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + -8x = 1 + -23

Combine like terms: 23 + -23 = 0
0 + -8x = 1 + -23
-8x = 1 + -23

Combine like terms: 1 + -23 = -22
-8x = -22

Divide each side by '-8'.
x = 2.75

Simplifying
x = 2.75

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