6(x-2)+15=5(x+4)-7

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Solution for 6(x-2)+15=5(x+4)-7 equation:


Simplifying
6(x + -2) + 15 = 5(x + 4) + -7

Reorder the terms:
6(-2 + x) + 15 = 5(x + 4) + -7
(-2 * 6 + x * 6) + 15 = 5(x + 4) + -7
(-12 + 6x) + 15 = 5(x + 4) + -7

Reorder the terms:
-12 + 15 + 6x = 5(x + 4) + -7

Combine like terms: -12 + 15 = 3
3 + 6x = 5(x + 4) + -7

Reorder the terms:
3 + 6x = 5(4 + x) + -7
3 + 6x = (4 * 5 + x * 5) + -7
3 + 6x = (20 + 5x) + -7

Reorder the terms:
3 + 6x = 20 + -7 + 5x

Combine like terms: 20 + -7 = 13
3 + 6x = 13 + 5x

Solving
3 + 6x = 13 + 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.
3 + 6x + -5x = 13 + 5x + -5x

Combine like terms: 6x + -5x = 1x
3 + 1x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + 1x = 13 + 0
3 + 1x = 13

Add '-3' to each side of the equation.
3 + -3 + 1x = 13 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 13 + -3
1x = 13 + -3

Combine like terms: 13 + -3 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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