(-4x+8)-(-6+3x)=1

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Solution for (-4x+8)-(-6+3x)=1 equation:


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

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

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

Reorder the terms:
8 + 6 + -4x + -3x = 1

Combine like terms: 8 + 6 = 14
14 + -4x + -3x = 1

Combine like terms: -4x + -3x = -7x
14 + -7x = 1

Solving
14 + -7x = 1

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + -7x = 1 + -14

Combine like terms: 14 + -14 = 0
0 + -7x = 1 + -14
-7x = 1 + -14

Combine like terms: 1 + -14 = -13
-7x = -13

Divide each side by '-7'.
x = 1.857142857

Simplifying
x = 1.857142857

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