(2x-3)=7(4x-11)

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Solution for (2x-3)=7(4x-11) equation:


Simplifying
(2x + -3) = 7(4x + -11)

Reorder the terms:
(-3 + 2x) = 7(4x + -11)

Remove parenthesis around (-3 + 2x)
-3 + 2x = 7(4x + -11)

Reorder the terms:
-3 + 2x = 7(-11 + 4x)
-3 + 2x = (-11 * 7 + 4x * 7)
-3 + 2x = (-77 + 28x)

Solving
-3 + 2x = -77 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
-3 + 2x + -28x = -77 + 28x + -28x

Combine like terms: 2x + -28x = -26x
-3 + -26x = -77 + 28x + -28x

Combine like terms: 28x + -28x = 0
-3 + -26x = -77 + 0
-3 + -26x = -77

Add '3' to each side of the equation.
-3 + 3 + -26x = -77 + 3

Combine like terms: -3 + 3 = 0
0 + -26x = -77 + 3
-26x = -77 + 3

Combine like terms: -77 + 3 = -74
-26x = -74

Divide each side by '-26'.
x = 2.846153846

Simplifying
x = 2.846153846

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