3(x-3)+2x=6(x+1)-10

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Solution for 3(x-3)+2x=6(x+1)-10 equation:


Simplifying
3(x + -3) + 2x = 6(x + 1) + -10

Reorder the terms:
3(-3 + x) + 2x = 6(x + 1) + -10
(-3 * 3 + x * 3) + 2x = 6(x + 1) + -10
(-9 + 3x) + 2x = 6(x + 1) + -10

Combine like terms: 3x + 2x = 5x
-9 + 5x = 6(x + 1) + -10

Reorder the terms:
-9 + 5x = 6(1 + x) + -10
-9 + 5x = (1 * 6 + x * 6) + -10
-9 + 5x = (6 + 6x) + -10

Reorder the terms:
-9 + 5x = 6 + -10 + 6x

Combine like terms: 6 + -10 = -4
-9 + 5x = -4 + 6x

Solving
-9 + 5x = -4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-9 + 5x + -6x = -4 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-9 + -1x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
-9 + -1x = -4 + 0
-9 + -1x = -4

Add '9' to each side of the equation.
-9 + 9 + -1x = -4 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = -4 + 9
-1x = -4 + 9

Combine like terms: -4 + 9 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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