3x+4(4x+3)=30x-2(11-3x)

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Solution for 3x+4(4x+3)=30x-2(11-3x) equation:


Simplifying
3x + 4(4x + 3) = 30x + -2(11 + -3x)

Reorder the terms:
3x + 4(3 + 4x) = 30x + -2(11 + -3x)
3x + (3 * 4 + 4x * 4) = 30x + -2(11 + -3x)
3x + (12 + 16x) = 30x + -2(11 + -3x)

Reorder the terms:
12 + 3x + 16x = 30x + -2(11 + -3x)

Combine like terms: 3x + 16x = 19x
12 + 19x = 30x + -2(11 + -3x)
12 + 19x = 30x + (11 * -2 + -3x * -2)
12 + 19x = 30x + (-22 + 6x)

Reorder the terms:
12 + 19x = -22 + 30x + 6x

Combine like terms: 30x + 6x = 36x
12 + 19x = -22 + 36x

Solving
12 + 19x = -22 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
12 + 19x + -36x = -22 + 36x + -36x

Combine like terms: 19x + -36x = -17x
12 + -17x = -22 + 36x + -36x

Combine like terms: 36x + -36x = 0
12 + -17x = -22 + 0
12 + -17x = -22

Add '-12' to each side of the equation.
12 + -12 + -17x = -22 + -12

Combine like terms: 12 + -12 = 0
0 + -17x = -22 + -12
-17x = -22 + -12

Combine like terms: -22 + -12 = -34
-17x = -34

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

Simplifying
x = 2

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