2(x-3)+5=3(x+4)-10

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Solution for 2(x-3)+5=3(x+4)-10 equation: 


Simplifying
2(x + -3) + 5 = 3(x + 4) + -10

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

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

Combine like terms: -6 + 5 = -1
-1 + 2x = 3(x + 4) + -10

Reorder the terms:
-1 + 2x = 3(4 + x) + -10
-1 + 2x = (4 * 3 + x * 3) + -10
-1 + 2x = (12 + 3x) + -10

Reorder the terms:
-1 + 2x = 12 + -10 + 3x

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

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

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

Combine like terms: 3x + -3x = 0
-1 + -1x = 2 + 0
-1 + -1x = 2

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

Combine like terms: -1 + 1 = 0
0 + -1x = 2 + 1
-1x = 2 + 1

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

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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