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

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Solution for 5(x+1)-3(2x+4)=2(x+7) equation:


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

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

Reorder the terms:
5 + 5x + -3(4 + 2x) = 2(x + 7)
5 + 5x + (4 * -3 + 2x * -3) = 2(x + 7)
5 + 5x + (-12 + -6x) = 2(x + 7)

Reorder the terms:
5 + -12 + 5x + -6x = 2(x + 7)

Combine like terms: 5 + -12 = -7
-7 + 5x + -6x = 2(x + 7)

Combine like terms: 5x + -6x = -1x
-7 + -1x = 2(x + 7)

Reorder the terms:
-7 + -1x = 2(7 + x)
-7 + -1x = (7 * 2 + x * 2)
-7 + -1x = (14 + 2x)

Solving
-7 + -1x = 14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-7 + -1x + -2x = 14 + 2x + -2x

Combine like terms: -1x + -2x = -3x
-7 + -3x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + -3x = 14 + 0
-7 + -3x = 14

Add '7' to each side of the equation.
-7 + 7 + -3x = 14 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = 14 + 7
-3x = 14 + 7

Combine like terms: 14 + 7 = 21
-3x = 21

Divide each side by '-3'.
x = -7

Simplifying
x = -7

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