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

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


Simplifying
-4(x + -2) = -7(x + -1)

Reorder the terms:
-4(-2 + x) = -7(x + -1)
(-2 * -4 + x * -4) = -7(x + -1)
(8 + -4x) = -7(x + -1)

Reorder the terms:
8 + -4x = -7(-1 + x)
8 + -4x = (-1 * -7 + x * -7)
8 + -4x = (7 + -7x)

Solving
8 + -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.
8 + -4x + 7x = 7 + -7x + 7x

Combine like terms: -4x + 7x = 3x
8 + 3x = 7 + -7x + 7x

Combine like terms: -7x + 7x = 0
8 + 3x = 7 + 0
8 + 3x = 7

Add '-8' to each side of the equation.
8 + -8 + 3x = 7 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 7 + -8
3x = 7 + -8

Combine like terms: 7 + -8 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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