4(3-2x)+2(x+1)=-7

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Solution for 4(3-2x)+2(x+1)=-7 equation:


Simplifying
4(3 + -2x) + 2(x + 1) = -7
(3 * 4 + -2x * 4) + 2(x + 1) = -7
(12 + -8x) + 2(x + 1) = -7

Reorder the terms:
12 + -8x + 2(1 + x) = -7
12 + -8x + (1 * 2 + x * 2) = -7
12 + -8x + (2 + 2x) = -7

Reorder the terms:
12 + 2 + -8x + 2x = -7

Combine like terms: 12 + 2 = 14
14 + -8x + 2x = -7

Combine like terms: -8x + 2x = -6x
14 + -6x = -7

Solving
14 + -6x = -7

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 + -6x = -7 + -14

Combine like terms: 14 + -14 = 0
0 + -6x = -7 + -14
-6x = -7 + -14

Combine like terms: -7 + -14 = -21
-6x = -21

Divide each side by '-6'.
x = 3.5

Simplifying
x = 3.5

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