7x-(3x+8)=6x-46

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Solution for 7x-(3x+8)=6x-46 equation:


Simplifying
7x + -1(3x + 8) = 6x + -46

Reorder the terms:
7x + -1(8 + 3x) = 6x + -46
7x + (8 * -1 + 3x * -1) = 6x + -46
7x + (-8 + -3x) = 6x + -46

Reorder the terms:
-8 + 7x + -3x = 6x + -46

Combine like terms: 7x + -3x = 4x
-8 + 4x = 6x + -46

Reorder the terms:
-8 + 4x = -46 + 6x

Solving
-8 + 4x = -46 + 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.
-8 + 4x + -6x = -46 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-8 + -2x = -46 + 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + -2x = -46 + 0
-8 + -2x = -46

Add '8' to each side of the equation.
-8 + 8 + -2x = -46 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = -46 + 8
-2x = -46 + 8

Combine like terms: -46 + 8 = -38
-2x = -38

Divide each side by '-2'.
x = 19

Simplifying
x = 19

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