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

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


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

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

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

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

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

Combine like terms: -3 + 8 = 5
8 + 3x = 5 + 6x

Solving
8 + 3x = 5 + 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 + 3x + -6x = 5 + 6x + -6x

Combine like terms: 3x + -6x = -3x
8 + -3x = 5 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -3x = 5 + 0
8 + -3x = 5

Add '-8' to each side of the equation.
8 + -8 + -3x = 5 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 5 + -8
-3x = 5 + -8

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

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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