-10+3x+4(x-10)+2(x+1)=30x

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Solution for -10+3x+4(x-10)+2(x+1)=30x equation:


Simplifying
-10 + 3x + 4(x + -10) + 2(x + 1) = 30x

Reorder the terms:
-10 + 3x + 4(-10 + x) + 2(x + 1) = 30x
-10 + 3x + (-10 * 4 + x * 4) + 2(x + 1) = 30x
-10 + 3x + (-40 + 4x) + 2(x + 1) = 30x

Reorder the terms:
-10 + 3x + -40 + 4x + 2(1 + x) = 30x
-10 + 3x + -40 + 4x + (1 * 2 + x * 2) = 30x
-10 + 3x + -40 + 4x + (2 + 2x) = 30x

Reorder the terms:
-10 + -40 + 2 + 3x + 4x + 2x = 30x

Combine like terms: -10 + -40 = -50
-50 + 2 + 3x + 4x + 2x = 30x

Combine like terms: -50 + 2 = -48
-48 + 3x + 4x + 2x = 30x

Combine like terms: 3x + 4x = 7x
-48 + 7x + 2x = 30x

Combine like terms: 7x + 2x = 9x
-48 + 9x = 30x

Solving
-48 + 9x = 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
-48 + 9x + -30x = 30x + -30x

Combine like terms: 9x + -30x = -21x
-48 + -21x = 30x + -30x

Combine like terms: 30x + -30x = 0
-48 + -21x = 0

Add '48' to each side of the equation.
-48 + 48 + -21x = 0 + 48

Combine like terms: -48 + 48 = 0
0 + -21x = 0 + 48
-21x = 0 + 48

Combine like terms: 0 + 48 = 48
-21x = 48

Divide each side by '-21'.
x = -2.285714286

Simplifying
x = -2.285714286

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