-5(4-7x)-(1-x)=2(x-5)

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Solution for -5(4-7x)-(1-x)=2(x-5) equation:


Simplifying
-5(4 + -7x) + -1(1 + -1x) = 2(x + -5)
(4 * -5 + -7x * -5) + -1(1 + -1x) = 2(x + -5)
(-20 + 35x) + -1(1 + -1x) = 2(x + -5)
-20 + 35x + (1 * -1 + -1x * -1) = 2(x + -5)
-20 + 35x + (-1 + 1x) = 2(x + -5)

Reorder the terms:
-20 + -1 + 35x + 1x = 2(x + -5)

Combine like terms: -20 + -1 = -21
-21 + 35x + 1x = 2(x + -5)

Combine like terms: 35x + 1x = 36x
-21 + 36x = 2(x + -5)

Reorder the terms:
-21 + 36x = 2(-5 + x)
-21 + 36x = (-5 * 2 + x * 2)
-21 + 36x = (-10 + 2x)

Solving
-21 + 36x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-21 + 36x + -2x = -10 + 2x + -2x

Combine like terms: 36x + -2x = 34x
-21 + 34x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-21 + 34x = -10 + 0
-21 + 34x = -10

Add '21' to each side of the equation.
-21 + 21 + 34x = -10 + 21

Combine like terms: -21 + 21 = 0
0 + 34x = -10 + 21
34x = -10 + 21

Combine like terms: -10 + 21 = 11
34x = 11

Divide each side by '34'.
x = 0.3235294118

Simplifying
x = 0.3235294118

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