(4+7x)-(3x+2)=8x+6

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Solution for (4+7x)-(3x+2)=8x+6 equation:


Simplifying
(4 + 7x) + -1(3x + 2) = 8x + 6

Remove parenthesis around (4 + 7x)
4 + 7x + -1(3x + 2) = 8x + 6

Reorder the terms:
4 + 7x + -1(2 + 3x) = 8x + 6
4 + 7x + (2 * -1 + 3x * -1) = 8x + 6
4 + 7x + (-2 + -3x) = 8x + 6

Reorder the terms:
4 + -2 + 7x + -3x = 8x + 6

Combine like terms: 4 + -2 = 2
2 + 7x + -3x = 8x + 6

Combine like terms: 7x + -3x = 4x
2 + 4x = 8x + 6

Reorder the terms:
2 + 4x = 6 + 8x

Solving
2 + 4x = 6 + 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.
2 + 4x + -8x = 6 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
2 + -4x = 6 + 0
2 + -4x = 6

Add '-2' to each side of the equation.
2 + -2 + -4x = 6 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = 6 + -2
-4x = 6 + -2

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

Divide each side by '-4'.
x = -1

Simplifying
x = -1

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