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

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


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

Reorder the terms:
-4(-3 + x) + 10 = 3x + -1(2)
(-3 * -4 + x * -4) + 10 = 3x + -1(2)
(12 + -4x) + 10 = 3x + -1(2)

Reorder the terms:
12 + 10 + -4x = 3x + -1(2)

Combine like terms: 12 + 10 = 22
22 + -4x = 3x + -1(2)

Multiply -1 * 2
22 + -4x = 3x + -2

Reorder the terms:
22 + -4x = -2 + 3x

Solving
22 + -4x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
22 + -4x + -3x = -2 + 3x + -3x

Combine like terms: -4x + -3x = -7x
22 + -7x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
22 + -7x = -2 + 0
22 + -7x = -2

Add '-22' to each side of the equation.
22 + -22 + -7x = -2 + -22

Combine like terms: 22 + -22 = 0
0 + -7x = -2 + -22
-7x = -2 + -22

Combine like terms: -2 + -22 = -24
-7x = -24

Divide each side by '-7'.
x = 3.428571429

Simplifying
x = 3.428571429

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