4(10-1x)=-7(1x-1)

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Solution for 4(10-1x)=-7(1x-1) equation: 


Simplifying
4(10 + -1x) = -7(1x + -1)
(10 * 4 + -1x * 4) = -7(1x + -1)
(40 + -4x) = -7(1x + -1)

Reorder the terms:
40 + -4x = -7(-1 + 1x)
40 + -4x = (-1 * -7 + 1x * -7)
40 + -4x = (7 + -7x)

Solving
40 + -4x = 7 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
40 + -4x + 7x = 7 + -7x + 7x

Combine like terms: -4x + 7x = 3x
40 + 3x = 7 + -7x + 7x

Combine like terms: -7x + 7x = 0
40 + 3x = 7 + 0
40 + 3x = 7

Add '-40' to each side of the equation.
40 + -40 + 3x = 7 + -40

Combine like terms: 40 + -40 = 0
0 + 3x = 7 + -40
3x = 7 + -40

Combine like terms: 7 + -40 = -33
3x = -33

Divide each side by '3'.
x = -11

Simplifying
x = -11

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