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

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


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

Reorder the terms:
10x + -2(1 + 3x) = 1 + -4(2x + 3)
10x + (1 * -2 + 3x * -2) = 1 + -4(2x + 3)
10x + (-2 + -6x) = 1 + -4(2x + 3)

Reorder the terms:
-2 + 10x + -6x = 1 + -4(2x + 3)

Combine like terms: 10x + -6x = 4x
-2 + 4x = 1 + -4(2x + 3)

Reorder the terms:
-2 + 4x = 1 + -4(3 + 2x)
-2 + 4x = 1 + (3 * -4 + 2x * -4)
-2 + 4x = 1 + (-12 + -8x)

Combine like terms: 1 + -12 = -11
-2 + 4x = -11 + -8x

Solving
-2 + 4x = -11 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-2 + 4x + 8x = -11 + -8x + 8x

Combine like terms: 4x + 8x = 12x
-2 + 12x = -11 + -8x + 8x

Combine like terms: -8x + 8x = 0
-2 + 12x = -11 + 0
-2 + 12x = -11

Add '2' to each side of the equation.
-2 + 2 + 12x = -11 + 2

Combine like terms: -2 + 2 = 0
0 + 12x = -11 + 2
12x = -11 + 2

Combine like terms: -11 + 2 = -9
12x = -9

Divide each side by '12'.
x = -0.75

Simplifying
x = -0.75

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