7(3x-8)=5(4x-11)

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Solution for 7(3x-8)=5(4x-11) equation:


Simplifying
7(3x + -8) = 5(4x + -11)

Reorder the terms:
7(-8 + 3x) = 5(4x + -11)
(-8 * 7 + 3x * 7) = 5(4x + -11)
(-56 + 21x) = 5(4x + -11)

Reorder the terms:
-56 + 21x = 5(-11 + 4x)
-56 + 21x = (-11 * 5 + 4x * 5)
-56 + 21x = (-55 + 20x)

Solving
-56 + 21x = -55 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-56 + 21x + -20x = -55 + 20x + -20x

Combine like terms: 21x + -20x = 1x
-56 + 1x = -55 + 20x + -20x

Combine like terms: 20x + -20x = 0
-56 + 1x = -55 + 0
-56 + 1x = -55

Add '56' to each side of the equation.
-56 + 56 + 1x = -55 + 56

Combine like terms: -56 + 56 = 0
0 + 1x = -55 + 56
1x = -55 + 56

Combine like terms: -55 + 56 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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