46(2x-3)=8-2(3x+1)

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Solution for 46(2x-3)=8-2(3x+1) equation:


Simplifying
46(2x + -3) = 8 + -2(3x + 1)

Reorder the terms:
46(-3 + 2x) = 8 + -2(3x + 1)
(-3 * 46 + 2x * 46) = 8 + -2(3x + 1)
(-138 + 92x) = 8 + -2(3x + 1)

Reorder the terms:
-138 + 92x = 8 + -2(1 + 3x)
-138 + 92x = 8 + (1 * -2 + 3x * -2)
-138 + 92x = 8 + (-2 + -6x)

Combine like terms: 8 + -2 = 6
-138 + 92x = 6 + -6x

Solving
-138 + 92x = 6 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-138 + 92x + 6x = 6 + -6x + 6x

Combine like terms: 92x + 6x = 98x
-138 + 98x = 6 + -6x + 6x

Combine like terms: -6x + 6x = 0
-138 + 98x = 6 + 0
-138 + 98x = 6

Add '138' to each side of the equation.
-138 + 138 + 98x = 6 + 138

Combine like terms: -138 + 138 = 0
0 + 98x = 6 + 138
98x = 6 + 138

Combine like terms: 6 + 138 = 144
98x = 144

Divide each side by '98'.
x = 1.469387755

Simplifying
x = 1.469387755

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