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

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


Simplifying
4(2x + 6) + -1(3x + 4) = 7

Reorder the terms:
4(6 + 2x) + -1(3x + 4) = 7
(6 * 4 + 2x * 4) + -1(3x + 4) = 7
(24 + 8x) + -1(3x + 4) = 7

Reorder the terms:
24 + 8x + -1(4 + 3x) = 7
24 + 8x + (4 * -1 + 3x * -1) = 7
24 + 8x + (-4 + -3x) = 7

Reorder the terms:
24 + -4 + 8x + -3x = 7

Combine like terms: 24 + -4 = 20
20 + 8x + -3x = 7

Combine like terms: 8x + -3x = 5x
20 + 5x = 7

Solving
20 + 5x = 7

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 5x = 7 + -20

Combine like terms: 20 + -20 = 0
0 + 5x = 7 + -20
5x = 7 + -20

Combine like terms: 7 + -20 = -13
5x = -13

Divide each side by '5'.
x = -2.6

Simplifying
x = -2.6

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