3-2x-8=2(4x-3)+13

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Solution for 3-2x-8=2(4x-3)+13 equation:


Simplifying
3 + -2x + -8 = 2(4x + -3) + 13

Reorder the terms:
3 + -8 + -2x = 2(4x + -3) + 13

Combine like terms: 3 + -8 = -5
-5 + -2x = 2(4x + -3) + 13

Reorder the terms:
-5 + -2x = 2(-3 + 4x) + 13
-5 + -2x = (-3 * 2 + 4x * 2) + 13
-5 + -2x = (-6 + 8x) + 13

Reorder the terms:
-5 + -2x = -6 + 13 + 8x

Combine like terms: -6 + 13 = 7
-5 + -2x = 7 + 8x

Solving
-5 + -2x = 7 + 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.
-5 + -2x + -8x = 7 + 8x + -8x

Combine like terms: -2x + -8x = -10x
-5 + -10x = 7 + 8x + -8x

Combine like terms: 8x + -8x = 0
-5 + -10x = 7 + 0
-5 + -10x = 7

Add '5' to each side of the equation.
-5 + 5 + -10x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + -10x = 7 + 5
-10x = 7 + 5

Combine like terms: 7 + 5 = 12
-10x = 12

Divide each side by '-10'.
x = -1.2

Simplifying
x = -1.2

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