4(3x-1)-2(x+5)=3(4+3x)

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Solution for 4(3x-1)-2(x+5)=3(4+3x) equation:


Simplifying
4(3x + -1) + -2(x + 5) = 3(4 + 3x)

Reorder the terms:
4(-1 + 3x) + -2(x + 5) = 3(4 + 3x)
(-1 * 4 + 3x * 4) + -2(x + 5) = 3(4 + 3x)
(-4 + 12x) + -2(x + 5) = 3(4 + 3x)

Reorder the terms:
-4 + 12x + -2(5 + x) = 3(4 + 3x)
-4 + 12x + (5 * -2 + x * -2) = 3(4 + 3x)
-4 + 12x + (-10 + -2x) = 3(4 + 3x)

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

Combine like terms: -4 + -10 = -14
-14 + 12x + -2x = 3(4 + 3x)

Combine like terms: 12x + -2x = 10x
-14 + 10x = 3(4 + 3x)
-14 + 10x = (4 * 3 + 3x * 3)
-14 + 10x = (12 + 9x)

Solving
-14 + 10x = 12 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-14 + 10x + -9x = 12 + 9x + -9x

Combine like terms: 10x + -9x = 1x
-14 + 1x = 12 + 9x + -9x

Combine like terms: 9x + -9x = 0
-14 + 1x = 12 + 0
-14 + 1x = 12

Add '14' to each side of the equation.
-14 + 14 + 1x = 12 + 14

Combine like terms: -14 + 14 = 0
0 + 1x = 12 + 14
1x = 12 + 14

Combine like terms: 12 + 14 = 26
1x = 26

Divide each side by '1'.
x = 26

Simplifying
x = 26

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