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

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


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

Reorder the terms:
4 + -3(-2 + x) = 7(4 + -2x) + -1
4 + (-2 * -3 + x * -3) = 7(4 + -2x) + -1
4 + (6 + -3x) = 7(4 + -2x) + -1

Combine like terms: 4 + 6 = 10
10 + -3x = 7(4 + -2x) + -1
10 + -3x = (4 * 7 + -2x * 7) + -1
10 + -3x = (28 + -14x) + -1

Reorder the terms:
10 + -3x = 28 + -1 + -14x

Combine like terms: 28 + -1 = 27
10 + -3x = 27 + -14x

Solving
10 + -3x = 27 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
10 + -3x + 14x = 27 + -14x + 14x

Combine like terms: -3x + 14x = 11x
10 + 11x = 27 + -14x + 14x

Combine like terms: -14x + 14x = 0
10 + 11x = 27 + 0
10 + 11x = 27

Add '-10' to each side of the equation.
10 + -10 + 11x = 27 + -10

Combine like terms: 10 + -10 = 0
0 + 11x = 27 + -10
11x = 27 + -10

Combine like terms: 27 + -10 = 17
11x = 17

Divide each side by '11'.
x = 1.545454545

Simplifying
x = 1.545454545

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