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

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


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

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

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

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

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

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

Solving
8 + 2x = 4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
8 + 2x + -4x = 4 + 4x + -4x

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

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

Add '-8' to each side of the equation.
8 + -8 + -2x = 4 + -8

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

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

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

Simplifying
x = 2

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