-4(x-7)+2=3x-10

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Solution for -4(x-7)+2=3x-10 equation: 


Simplifying
-4(x + -7) + 2 = 3x + -10

Reorder the terms:
-4(-7 + x) + 2 = 3x + -10
(-7 * -4 + x * -4) + 2 = 3x + -10
(28 + -4x) + 2 = 3x + -10

Reorder the terms:
28 + 2 + -4x = 3x + -10

Combine like terms: 28 + 2 = 30
30 + -4x = 3x + -10

Reorder the terms:
30 + -4x = -10 + 3x

Solving
30 + -4x = -10 + 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.
30 + -4x + -3x = -10 + 3x + -3x

Combine like terms: -4x + -3x = -7x
30 + -7x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
30 + -7x = -10 + 0
30 + -7x = -10

Add '-30' to each side of the equation.
30 + -30 + -7x = -10 + -30

Combine like terms: 30 + -30 = 0
0 + -7x = -10 + -30
-7x = -10 + -30

Combine like terms: -10 + -30 = -40
-7x = -40

Divide each side by '-7'.
x = 5.714285714

Simplifying
x = 5.714285714

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