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

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


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

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

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

Combine like terms: -6 + 5 = -1
-1 + 2x = 2 + -3(x + 4)

Reorder the terms:
-1 + 2x = 2 + -3(4 + x)
-1 + 2x = 2 + (4 * -3 + x * -3)
-1 + 2x = 2 + (-12 + -3x)

Combine like terms: 2 + -12 = -10
-1 + 2x = -10 + -3x

Solving
-1 + 2x = -10 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-1 + 2x + 3x = -10 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-1 + 5x = -10 + -3x + 3x

Combine like terms: -3x + 3x = 0
-1 + 5x = -10 + 0
-1 + 5x = -10

Add '1' to each side of the equation.
-1 + 1 + 5x = -10 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = -10 + 1
5x = -10 + 1

Combine like terms: -10 + 1 = -9
5x = -9

Divide each side by '5'.
x = -1.8

Simplifying
x = -1.8

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