6-7(x+1)=-3(2-x)

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Solution for 6-7(x+1)=-3(2-x) equation:


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

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

Combine like terms: 6 + -7 = -1
-1 + -7x = -3(2 + -1x)
-1 + -7x = (2 * -3 + -1x * -3)
-1 + -7x = (-6 + 3x)

Solving
-1 + -7x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-1 + -7x + -3x = -6 + 3x + -3x

Combine like terms: -7x + -3x = -10x
-1 + -10x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + -10x = -6 + 0
-1 + -10x = -6

Add '1' to each side of the equation.
-1 + 1 + -10x = -6 + 1

Combine like terms: -1 + 1 = 0
0 + -10x = -6 + 1
-10x = -6 + 1

Combine like terms: -6 + 1 = -5
-10x = -5

Divide each side by '-10'.
x = 0.5

Simplifying
x = 0.5

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