2(3x-5)+4(x+6)=2(3x+2)+3x-15

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Solution for 2(3x-5)+4(x+6)=2(3x+2)+3x-15 equation:


Simplifying
2(3x + -5) + 4(x + 6) = 2(3x + 2) + 3x + -15

Reorder the terms:
2(-5 + 3x) + 4(x + 6) = 2(3x + 2) + 3x + -15
(-5 * 2 + 3x * 2) + 4(x + 6) = 2(3x + 2) + 3x + -15
(-10 + 6x) + 4(x + 6) = 2(3x + 2) + 3x + -15

Reorder the terms:
-10 + 6x + 4(6 + x) = 2(3x + 2) + 3x + -15
-10 + 6x + (6 * 4 + x * 4) = 2(3x + 2) + 3x + -15
-10 + 6x + (24 + 4x) = 2(3x + 2) + 3x + -15

Reorder the terms:
-10 + 24 + 6x + 4x = 2(3x + 2) + 3x + -15

Combine like terms: -10 + 24 = 14
14 + 6x + 4x = 2(3x + 2) + 3x + -15

Combine like terms: 6x + 4x = 10x
14 + 10x = 2(3x + 2) + 3x + -15

Reorder the terms:
14 + 10x = 2(2 + 3x) + 3x + -15
14 + 10x = (2 * 2 + 3x * 2) + 3x + -15
14 + 10x = (4 + 6x) + 3x + -15

Reorder the terms:
14 + 10x = 4 + -15 + 6x + 3x

Combine like terms: 4 + -15 = -11
14 + 10x = -11 + 6x + 3x

Combine like terms: 6x + 3x = 9x
14 + 10x = -11 + 9x

Solving
14 + 10x = -11 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
14 + 10x + -9x = -11 + 9x + -9x

Combine like terms: 10x + -9x = 1x
14 + 1x = -11 + 9x + -9x

Combine like terms: 9x + -9x = 0
14 + 1x = -11 + 0
14 + 1x = -11

Add '-14' to each side of the equation.
14 + -14 + 1x = -11 + -14

Combine like terms: 14 + -14 = 0
0 + 1x = -11 + -14
1x = -11 + -14

Combine like terms: -11 + -14 = -25
1x = -25

Divide each side by '1'.
x = -25

Simplifying
x = -25

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