6-2(4x+1)=3x-2(2x+5)

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Solution for 6-2(4x+1)=3x-2(2x+5) equation:


Simplifying
6 + -2(4x + 1) = 3x + -2(2x + 5)

Reorder the terms:
6 + -2(1 + 4x) = 3x + -2(2x + 5)
6 + (1 * -2 + 4x * -2) = 3x + -2(2x + 5)
6 + (-2 + -8x) = 3x + -2(2x + 5)

Combine like terms: 6 + -2 = 4
4 + -8x = 3x + -2(2x + 5)

Reorder the terms:
4 + -8x = 3x + -2(5 + 2x)
4 + -8x = 3x + (5 * -2 + 2x * -2)
4 + -8x = 3x + (-10 + -4x)

Reorder the terms:
4 + -8x = -10 + 3x + -4x

Combine like terms: 3x + -4x = -1x
4 + -8x = -10 + -1x

Solving
4 + -8x = -10 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
4 + -8x + x = -10 + -1x + x

Combine like terms: -8x + x = -7x
4 + -7x = -10 + -1x + x

Combine like terms: -1x + x = 0
4 + -7x = -10 + 0
4 + -7x = -10

Add '-4' to each side of the equation.
4 + -4 + -7x = -10 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = -10 + -4
-7x = -10 + -4

Combine like terms: -10 + -4 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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