6(2x-5)=(-x+4)

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Solution for 6(2x-5)=(-x+4) equation:


Simplifying
6(2x + -5) = (-1x + 4)

Reorder the terms:
6(-5 + 2x) = (-1x + 4)
(-5 * 6 + 2x * 6) = (-1x + 4)
(-30 + 12x) = (-1x + 4)

Reorder the terms:
-30 + 12x = (4 + -1x)

Remove parenthesis around (4 + -1x)
-30 + 12x = 4 + -1x

Solving
-30 + 12x = 4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-30 + 12x + x = 4 + -1x + x

Combine like terms: 12x + x = 13x
-30 + 13x = 4 + -1x + x

Combine like terms: -1x + x = 0
-30 + 13x = 4 + 0
-30 + 13x = 4

Add '30' to each side of the equation.
-30 + 30 + 13x = 4 + 30

Combine like terms: -30 + 30 = 0
0 + 13x = 4 + 30
13x = 4 + 30

Combine like terms: 4 + 30 = 34
13x = 34

Divide each side by '13'.
x = 2.615384615

Simplifying
x = 2.615384615

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