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

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


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

Reorder the terms:
7(-7 + 2x) + 2 = 3x + -4
(-7 * 7 + 2x * 7) + 2 = 3x + -4
(-49 + 14x) + 2 = 3x + -4

Reorder the terms:
-49 + 2 + 14x = 3x + -4

Combine like terms: -49 + 2 = -47
-47 + 14x = 3x + -4

Reorder the terms:
-47 + 14x = -4 + 3x

Solving
-47 + 14x = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-47 + 14x + -3x = -4 + 3x + -3x

Combine like terms: 14x + -3x = 11x
-47 + 11x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-47 + 11x = -4 + 0
-47 + 11x = -4

Add '47' to each side of the equation.
-47 + 47 + 11x = -4 + 47

Combine like terms: -47 + 47 = 0
0 + 11x = -4 + 47
11x = -4 + 47

Combine like terms: -4 + 47 = 43
11x = 43

Divide each side by '11'.
x = 3.909090909

Simplifying
x = 3.909090909

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