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

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


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

Reorder the terms:
-4(-10 + x) = -1(x + -7)
(-10 * -4 + x * -4) = -1(x + -7)
(40 + -4x) = -1(x + -7)

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

Solving
40 + -4x = 7 + -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.
40 + -4x + x = 7 + -1x + x

Combine like terms: -4x + x = -3x
40 + -3x = 7 + -1x + x

Combine like terms: -1x + x = 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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