4(2x+3)-2(8x-9)=4x+10

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Solution for 4(2x+3)-2(8x-9)=4x+10 equation:


Simplifying
4(2x + 3) + -2(8x + -9) = 4x + 10

Reorder the terms:
4(3 + 2x) + -2(8x + -9) = 4x + 10
(3 * 4 + 2x * 4) + -2(8x + -9) = 4x + 10
(12 + 8x) + -2(8x + -9) = 4x + 10

Reorder the terms:
12 + 8x + -2(-9 + 8x) = 4x + 10
12 + 8x + (-9 * -2 + 8x * -2) = 4x + 10
12 + 8x + (18 + -16x) = 4x + 10

Reorder the terms:
12 + 18 + 8x + -16x = 4x + 10

Combine like terms: 12 + 18 = 30
30 + 8x + -16x = 4x + 10

Combine like terms: 8x + -16x = -8x
30 + -8x = 4x + 10

Reorder the terms:
30 + -8x = 10 + 4x

Solving
30 + -8x = 10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
30 + -8x + -4x = 10 + 4x + -4x

Combine like terms: -8x + -4x = -12x
30 + -12x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
30 + -12x = 10 + 0
30 + -12x = 10

Add '-30' to each side of the equation.
30 + -30 + -12x = 10 + -30

Combine like terms: 30 + -30 = 0
0 + -12x = 10 + -30
-12x = 10 + -30

Combine like terms: 10 + -30 = -20
-12x = -20

Divide each side by '-12'.
x = 1.666666667

Simplifying
x = 1.666666667

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