-7(x+4)+3x+7=5x+8

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Solution for -7(x+4)+3x+7=5x+8 equation:


Simplifying
-7(x + 4) + 3x + 7 = 5x + 8

Reorder the terms:
-7(4 + x) + 3x + 7 = 5x + 8
(4 * -7 + x * -7) + 3x + 7 = 5x + 8
(-28 + -7x) + 3x + 7 = 5x + 8

Reorder the terms:
-28 + 7 + -7x + 3x = 5x + 8

Combine like terms: -28 + 7 = -21
-21 + -7x + 3x = 5x + 8

Combine like terms: -7x + 3x = -4x
-21 + -4x = 5x + 8

Reorder the terms:
-21 + -4x = 8 + 5x

Solving
-21 + -4x = 8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-21 + -4x + -5x = 8 + 5x + -5x

Combine like terms: -4x + -5x = -9x
-21 + -9x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
-21 + -9x = 8 + 0
-21 + -9x = 8

Add '21' to each side of the equation.
-21 + 21 + -9x = 8 + 21

Combine like terms: -21 + 21 = 0
0 + -9x = 8 + 21
-9x = 8 + 21

Combine like terms: 8 + 21 = 29
-9x = 29

Divide each side by '-9'.
x = -3.222222222

Simplifying
x = -3.222222222

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