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

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


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

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

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

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

Combine like terms: -6 + 15 = 9
9 + 2x + 3x = 4(x + -2)

Combine like terms: 2x + 3x = 5x
9 + 5x = 4(x + -2)

Reorder the terms:
9 + 5x = 4(-2 + x)
9 + 5x = (-2 * 4 + x * 4)
9 + 5x = (-8 + 4x)

Solving
9 + 5x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + 5x + -4x = -8 + 4x + -4x

Combine like terms: 5x + -4x = 1x
9 + 1x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + 1x = -8 + 0
9 + 1x = -8

Add '-9' to each side of the equation.
9 + -9 + 1x = -8 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = -8 + -9
1x = -8 + -9

Combine like terms: -8 + -9 = -17
1x = -17

Divide each side by '1'.
x = -17

Simplifying
x = -17

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