4-(x-7)=3(2x-1)

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Solution for 4-(x-7)=3(2x-1) equation: 


Simplifying
4 + -1(x + -7) = 3(2x + -1)

Reorder the terms:
4 + -1(-7 + x) = 3(2x + -1)
4 + (-7 * -1 + x * -1) = 3(2x + -1)
4 + (7 + -1x) = 3(2x + -1)

Combine like terms: 4 + 7 = 11
11 + -1x = 3(2x + -1)

Reorder the terms:
11 + -1x = 3(-1 + 2x)
11 + -1x = (-1 * 3 + 2x * 3)
11 + -1x = (-3 + 6x)

Solving
11 + -1x = -3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
11 + -1x + -6x = -3 + 6x + -6x

Combine like terms: -1x + -6x = -7x
11 + -7x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
11 + -7x = -3 + 0
11 + -7x = -3

Add '-11' to each side of the equation.
11 + -11 + -7x = -3 + -11

Combine like terms: 11 + -11 = 0
0 + -7x = -3 + -11
-7x = -3 + -11

Combine like terms: -3 + -11 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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