3-4(x-2)=7x

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


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

Reorder the terms:
3 + -4(-2 + x) = 7x
3 + (-2 * -4 + x * -4) = 7x
3 + (8 + -4x) = 7x

Combine like terms: 3 + 8 = 11
11 + -4x = 7x

Solving
11 + -4x = 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.
11 + -4x + -7x = 7x + -7x

Combine like terms: -4x + -7x = -11x
11 + -11x = 7x + -7x

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

Add '-11' to each side of the equation.
11 + -11 + -11x = 0 + -11

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

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

Divide each side by '-11'.
x = 1

Simplifying
x = 1

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