4(x-3)+2x=6(x+3)-30

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Solution for 4(x-3)+2x=6(x+3)-30 equation:


Simplifying
4(x + -3) + 2x = 6(x + 3) + -30

Reorder the terms:
4(-3 + x) + 2x = 6(x + 3) + -30
(-3 * 4 + x * 4) + 2x = 6(x + 3) + -30
(-12 + 4x) + 2x = 6(x + 3) + -30

Combine like terms: 4x + 2x = 6x
-12 + 6x = 6(x + 3) + -30

Reorder the terms:
-12 + 6x = 6(3 + x) + -30
-12 + 6x = (3 * 6 + x * 6) + -30
-12 + 6x = (18 + 6x) + -30

Reorder the terms:
-12 + 6x = 18 + -30 + 6x

Combine like terms: 18 + -30 = -12
-12 + 6x = -12 + 6x

Add '12' to each side of the equation.
-12 + 12 + 6x = -12 + 12 + 6x

Combine like terms: -12 + 12 = 0
0 + 6x = -12 + 12 + 6x
6x = -12 + 12 + 6x

Combine like terms: -12 + 12 = 0
6x = 0 + 6x
6x = 6x

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

Combine like terms: 6x + -6x = 0
0 = 6x + -6x

Combine like terms: 6x + -6x = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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