7(6x+4)=4x-10

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Solution for 7(6x+4)=4x-10 equation:


Simplifying
7(6x + 4) = 4x + -10

Reorder the terms:
7(4 + 6x) = 4x + -10
(4 * 7 + 6x * 7) = 4x + -10
(28 + 42x) = 4x + -10

Reorder the terms:
28 + 42x = -10 + 4x

Solving
28 + 42x = -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.
28 + 42x + -4x = -10 + 4x + -4x

Combine like terms: 42x + -4x = 38x
28 + 38x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
28 + 38x = -10 + 0
28 + 38x = -10

Add '-28' to each side of the equation.
28 + -28 + 38x = -10 + -28

Combine like terms: 28 + -28 = 0
0 + 38x = -10 + -28
38x = -10 + -28

Combine like terms: -10 + -28 = -38
38x = -38

Divide each side by '38'.
x = -1

Simplifying
x = -1

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