3x+46=3+8x-7

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Solution for 3x+46=3+8x-7 equation:


Simplifying
3x + 46 = 3 + 8x + -7

Reorder the terms:
46 + 3x = 3 + 8x + -7

Reorder the terms:
46 + 3x = 3 + -7 + 8x

Combine like terms: 3 + -7 = -4
46 + 3x = -4 + 8x

Solving
46 + 3x = -4 + 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.
46 + 3x + -8x = -4 + 8x + -8x

Combine like terms: 3x + -8x = -5x
46 + -5x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
46 + -5x = -4 + 0
46 + -5x = -4

Add '-46' to each side of the equation.
46 + -46 + -5x = -4 + -46

Combine like terms: 46 + -46 = 0
0 + -5x = -4 + -46
-5x = -4 + -46

Combine like terms: -4 + -46 = -50
-5x = -50

Divide each side by '-5'.
x = 10

Simplifying
x = 10

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