2(x+4)-3(5-x)=7x+6

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Solution for 2(x+4)-3(5-x)=7x+6 equation:


Simplifying
2(x + 4) + -3(5 + -1x) = 7x + 6

Reorder the terms:
2(4 + x) + -3(5 + -1x) = 7x + 6
(4 * 2 + x * 2) + -3(5 + -1x) = 7x + 6
(8 + 2x) + -3(5 + -1x) = 7x + 6
8 + 2x + (5 * -3 + -1x * -3) = 7x + 6
8 + 2x + (-15 + 3x) = 7x + 6

Reorder the terms:
8 + -15 + 2x + 3x = 7x + 6

Combine like terms: 8 + -15 = -7
-7 + 2x + 3x = 7x + 6

Combine like terms: 2x + 3x = 5x
-7 + 5x = 7x + 6

Reorder the terms:
-7 + 5x = 6 + 7x

Solving
-7 + 5x = 6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-7 + 5x + -7x = 6 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-7 + -2x = 6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-7 + -2x = 6 + 0
-7 + -2x = 6

Add '7' to each side of the equation.
-7 + 7 + -2x = 6 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 6 + 7
-2x = 6 + 7

Combine like terms: 6 + 7 = 13
-2x = 13

Divide each side by '-2'.
x = -6.5

Simplifying
x = -6.5

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