-2(-5+8)+3x+10=10(2x-3)

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Solution for -2(-5+8)+3x+10=10(2x-3) equation:


Simplifying
-2(-5 + 8) + 3x + 10 = 10(2x + -3)

Combine like terms: -5 + 8 = 3
-2(3) + 3x + 10 = 10(2x + -3)

Multiply -2 * 3
-6 + 3x + 10 = 10(2x + -3)

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

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

Reorder the terms:
4 + 3x = 10(-3 + 2x)
4 + 3x = (-3 * 10 + 2x * 10)
4 + 3x = (-30 + 20x)

Solving
4 + 3x = -30 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
4 + 3x + -20x = -30 + 20x + -20x

Combine like terms: 3x + -20x = -17x
4 + -17x = -30 + 20x + -20x

Combine like terms: 20x + -20x = 0
4 + -17x = -30 + 0
4 + -17x = -30

Add '-4' to each side of the equation.
4 + -4 + -17x = -30 + -4

Combine like terms: 4 + -4 = 0
0 + -17x = -30 + -4
-17x = -30 + -4

Combine like terms: -30 + -4 = -34
-17x = -34

Divide each side by '-17'.
x = 2

Simplifying
x = 2

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