7(2x-3)-2=8x+1

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Solution for 7(2x-3)-2=8x+1 equation:


Simplifying
7(2x + -3) + -2 = 8x + 1

Reorder the terms:
7(-3 + 2x) + -2 = 8x + 1
(-3 * 7 + 2x * 7) + -2 = 8x + 1
(-21 + 14x) + -2 = 8x + 1

Reorder the terms:
-21 + -2 + 14x = 8x + 1

Combine like terms: -21 + -2 = -23
-23 + 14x = 8x + 1

Reorder the terms:
-23 + 14x = 1 + 8x

Solving
-23 + 14x = 1 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-23 + 14x + -8x = 1 + 8x + -8x

Combine like terms: 14x + -8x = 6x
-23 + 6x = 1 + 8x + -8x

Combine like terms: 8x + -8x = 0
-23 + 6x = 1 + 0
-23 + 6x = 1

Add '23' to each side of the equation.
-23 + 23 + 6x = 1 + 23

Combine like terms: -23 + 23 = 0
0 + 6x = 1 + 23
6x = 1 + 23

Combine like terms: 1 + 23 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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