2x+4(3x-1)=7x-10

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Solution for 2x+4(3x-1)=7x-10 equation:


Simplifying
2x + 4(3x + -1) = 7x + -10

Reorder the terms:
2x + 4(-1 + 3x) = 7x + -10
2x + (-1 * 4 + 3x * 4) = 7x + -10
2x + (-4 + 12x) = 7x + -10

Reorder the terms:
-4 + 2x + 12x = 7x + -10

Combine like terms: 2x + 12x = 14x
-4 + 14x = 7x + -10

Reorder the terms:
-4 + 14x = -10 + 7x

Solving
-4 + 14x = -10 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-4 + 14x + -7x = -10 + 7x + -7x

Combine like terms: 14x + -7x = 7x
-4 + 7x = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
-4 + 7x = -10 + 0
-4 + 7x = -10

Add '4' to each side of the equation.
-4 + 4 + 7x = -10 + 4

Combine like terms: -4 + 4 = 0
0 + 7x = -10 + 4
7x = -10 + 4

Combine like terms: -10 + 4 = -6
7x = -6

Divide each side by '7'.
x = -0.8571428571

Simplifying
x = -0.8571428571

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