-3x+5(6-x)=4(1-x)

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Solution for -3x+5(6-x)=4(1-x) equation:


Simplifying
-3x + 5(6 + -1x) = 4(1 + -1x)
-3x + (6 * 5 + -1x * 5) = 4(1 + -1x)
-3x + (30 + -5x) = 4(1 + -1x)

Reorder the terms:
30 + -3x + -5x = 4(1 + -1x)

Combine like terms: -3x + -5x = -8x
30 + -8x = 4(1 + -1x)
30 + -8x = (1 * 4 + -1x * 4)
30 + -8x = (4 + -4x)

Solving
30 + -8x = 4 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
30 + -8x + 4x = 4 + -4x + 4x

Combine like terms: -8x + 4x = -4x
30 + -4x = 4 + -4x + 4x

Combine like terms: -4x + 4x = 0
30 + -4x = 4 + 0
30 + -4x = 4

Add '-30' to each side of the equation.
30 + -30 + -4x = 4 + -30

Combine like terms: 30 + -30 = 0
0 + -4x = 4 + -30
-4x = 4 + -30

Combine like terms: 4 + -30 = -26
-4x = -26

Divide each side by '-4'.
x = 6.5

Simplifying
x = 6.5

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