3x-4(7x-14)=7x-14

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Solution for 3x-4(7x-14)=7x-14 equation:


Simplifying
3x + -4(7x + -14) = 7x + -14

Reorder the terms:
3x + -4(-14 + 7x) = 7x + -14
3x + (-14 * -4 + 7x * -4) = 7x + -14
3x + (56 + -28x) = 7x + -14

Reorder the terms:
56 + 3x + -28x = 7x + -14

Combine like terms: 3x + -28x = -25x
56 + -25x = 7x + -14

Reorder the terms:
56 + -25x = -14 + 7x

Solving
56 + -25x = -14 + 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.
56 + -25x + -7x = -14 + 7x + -7x

Combine like terms: -25x + -7x = -32x
56 + -32x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
56 + -32x = -14 + 0
56 + -32x = -14

Add '-56' to each side of the equation.
56 + -56 + -32x = -14 + -56

Combine like terms: 56 + -56 = 0
0 + -32x = -14 + -56
-32x = -14 + -56

Combine like terms: -14 + -56 = -70
-32x = -70

Divide each side by '-32'.
x = 2.1875

Simplifying
x = 2.1875

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