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

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


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

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

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

Reorder the terms for easier multiplication:
-3 + 2x = 7 * 4(-2 + x)

Multiply 7 * 4
-3 + 2x = 28(-2 + x)
-3 + 2x = (-2 * 28 + x * 28)
-3 + 2x = (-56 + 28x)

Solving
-3 + 2x = -56 + 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 = -56 + 28x + -28x

Combine like terms: 2x + -28x = -26x
-3 + -26x = -56 + 28x + -28x

Combine like terms: 28x + -28x = 0
-3 + -26x = -56 + 0
-3 + -26x = -56

Add '3' to each side of the equation.
-3 + 3 + -26x = -56 + 3

Combine like terms: -3 + 3 = 0
0 + -26x = -56 + 3
-26x = -56 + 3

Combine like terms: -56 + 3 = -53
-26x = -53

Divide each side by '-26'.
x = 2.038461538

Simplifying
x = 2.038461538

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