3x-4=5(1-x)

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


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

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

Solving
-4 + 3x = 5 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-4 + 3x + 5x = 5 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-4 + 8x = 5 + -5x + 5x

Combine like terms: -5x + 5x = 0
-4 + 8x = 5 + 0
-4 + 8x = 5

Add '4' to each side of the equation.
-4 + 4 + 8x = 5 + 4

Combine like terms: -4 + 4 = 0
0 + 8x = 5 + 4
8x = 5 + 4

Combine like terms: 5 + 4 = 9
8x = 9

Divide each side by '8'.
x = 1.125

Simplifying
x = 1.125

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