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

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


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

Reorder the terms:
6(-3 + x) + 2(x + 4) = 5(x + 7)
(-3 * 6 + x * 6) + 2(x + 4) = 5(x + 7)
(-18 + 6x) + 2(x + 4) = 5(x + 7)

Reorder the terms:
-18 + 6x + 2(4 + x) = 5(x + 7)
-18 + 6x + (4 * 2 + x * 2) = 5(x + 7)
-18 + 6x + (8 + 2x) = 5(x + 7)

Reorder the terms:
-18 + 8 + 6x + 2x = 5(x + 7)

Combine like terms: -18 + 8 = -10
-10 + 6x + 2x = 5(x + 7)

Combine like terms: 6x + 2x = 8x
-10 + 8x = 5(x + 7)

Reorder the terms:
-10 + 8x = 5(7 + x)
-10 + 8x = (7 * 5 + x * 5)
-10 + 8x = (35 + 5x)

Solving
-10 + 8x = 35 + 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.
-10 + 8x + -5x = 35 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-10 + 3x = 35 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + 3x = 35 + 0
-10 + 3x = 35

Add '10' to each side of the equation.
-10 + 10 + 3x = 35 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = 35 + 10
3x = 35 + 10

Combine like terms: 35 + 10 = 45
3x = 45

Divide each side by '3'.
x = 15

Simplifying
x = 15

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