3-7(x-1)=5-4x

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Solution for 3-7(x-1)=5-4x equation:


Simplifying
3 + -7(x + -1) = 5 + -4x

Reorder the terms:
3 + -7(-1 + x) = 5 + -4x
3 + (-1 * -7 + x * -7) = 5 + -4x
3 + (7 + -7x) = 5 + -4x

Combine like terms: 3 + 7 = 10
10 + -7x = 5 + -4x

Solving
10 + -7x = 5 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
10 + -7x + 4x = 5 + -4x + 4x

Combine like terms: -7x + 4x = -3x
10 + -3x = 5 + -4x + 4x

Combine like terms: -4x + 4x = 0
10 + -3x = 5 + 0
10 + -3x = 5

Add '-10' to each side of the equation.
10 + -10 + -3x = 5 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 5 + -10
-3x = 5 + -10

Combine like terms: 5 + -10 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

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