3(4-x)+(-10)=5+2(2x+1)

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Solution for 3(4-x)+(-10)=5+2(2x+1) equation: 


Simplifying
3(4 + -1x) + (-10) = 5 + 2(2x + 1)
(4 * 3 + -1x * 3) + (-10) = 5 + 2(2x + 1)
(12 + -3x) + (-10) = 5 + 2(2x + 1)
12 + -3x + -10 = 5 + 2(2x + 1)

Reorder the terms:
12 + -10 + -3x = 5 + 2(2x + 1)

Combine like terms: 12 + -10 = 2
2 + -3x = 5 + 2(2x + 1)

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

Combine like terms: 5 + 2 = 7
2 + -3x = 7 + 4x

Solving
2 + -3x = 7 + 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.
2 + -3x + -4x = 7 + 4x + -4x

Combine like terms: -3x + -4x = -7x
2 + -7x = 7 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -7x = 7 + 0
2 + -7x = 7

Add '-2' to each side of the equation.
2 + -2 + -7x = 7 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 7 + -2
-7x = 7 + -2

Combine like terms: 7 + -2 = 5
-7x = 5

Divide each side by '-7'.
x = -0.7142857143

Simplifying
x = -0.7142857143

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