2(3x+5)-3=8x-1

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Solution for 2(3x+5)-3=8x-1 equation:


Simplifying
2(3x + 5) + -3 = 8x + -1

Reorder the terms:
2(5 + 3x) + -3 = 8x + -1
(5 * 2 + 3x * 2) + -3 = 8x + -1
(10 + 6x) + -3 = 8x + -1

Reorder the terms:
10 + -3 + 6x = 8x + -1

Combine like terms: 10 + -3 = 7
7 + 6x = 8x + -1

Reorder the terms:
7 + 6x = -1 + 8x

Solving
7 + 6x = -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.
7 + 6x + -8x = -1 + 8x + -8x

Combine like terms: 6x + -8x = -2x
7 + -2x = -1 + 8x + -8x

Combine like terms: 8x + -8x = 0
7 + -2x = -1 + 0
7 + -2x = -1

Add '-7' to each side of the equation.
7 + -7 + -2x = -1 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = -1 + -7
-2x = -1 + -7

Combine like terms: -1 + -7 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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