7-8(4-x)=3x-5

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Solution for 7-8(4-x)=3x-5 equation:


Simplifying
7 + -8(4 + -1x) = 3x + -5
7 + (4 * -8 + -1x * -8) = 3x + -5
7 + (-32 + 8x) = 3x + -5

Combine like terms: 7 + -32 = -25
-25 + 8x = 3x + -5

Reorder the terms:
-25 + 8x = -5 + 3x

Solving
-25 + 8x = -5 + 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.
-25 + 8x + -3x = -5 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-25 + 5x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-25 + 5x = -5 + 0
-25 + 5x = -5

Add '25' to each side of the equation.
-25 + 25 + 5x = -5 + 25

Combine like terms: -25 + 25 = 0
0 + 5x = -5 + 25
5x = -5 + 25

Combine like terms: -5 + 25 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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