4(2x+1)+2(x-3)=6x+40

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Solution for 4(2x+1)+2(x-3)=6x+40 equation:


Simplifying
4(2x + 1) + 2(x + -3) = 6x + 40

Reorder the terms:
4(1 + 2x) + 2(x + -3) = 6x + 40
(1 * 4 + 2x * 4) + 2(x + -3) = 6x + 40
(4 + 8x) + 2(x + -3) = 6x + 40

Reorder the terms:
4 + 8x + 2(-3 + x) = 6x + 40
4 + 8x + (-3 * 2 + x * 2) = 6x + 40
4 + 8x + (-6 + 2x) = 6x + 40

Reorder the terms:
4 + -6 + 8x + 2x = 6x + 40

Combine like terms: 4 + -6 = -2
-2 + 8x + 2x = 6x + 40

Combine like terms: 8x + 2x = 10x
-2 + 10x = 6x + 40

Reorder the terms:
-2 + 10x = 40 + 6x

Solving
-2 + 10x = 40 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-2 + 10x + -6x = 40 + 6x + -6x

Combine like terms: 10x + -6x = 4x
-2 + 4x = 40 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + 4x = 40 + 0
-2 + 4x = 40

Add '2' to each side of the equation.
-2 + 2 + 4x = 40 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = 40 + 2
4x = 40 + 2

Combine like terms: 40 + 2 = 42
4x = 42

Divide each side by '4'.
x = 10.5

Simplifying
x = 10.5

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