4(x+7)+10=3(2x-6)

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Solution for 4(x+7)+10=3(2x-6) equation:


Simplifying
4(x + 7) + 10 = 3(2x + -6)

Reorder the terms:
4(7 + x) + 10 = 3(2x + -6)
(7 * 4 + x * 4) + 10 = 3(2x + -6)
(28 + 4x) + 10 = 3(2x + -6)

Reorder the terms:
28 + 10 + 4x = 3(2x + -6)

Combine like terms: 28 + 10 = 38
38 + 4x = 3(2x + -6)

Reorder the terms:
38 + 4x = 3(-6 + 2x)
38 + 4x = (-6 * 3 + 2x * 3)
38 + 4x = (-18 + 6x)

Solving
38 + 4x = -18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
38 + 4x + -6x = -18 + 6x + -6x

Combine like terms: 4x + -6x = -2x
38 + -2x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
38 + -2x = -18 + 0
38 + -2x = -18

Add '-38' to each side of the equation.
38 + -38 + -2x = -18 + -38

Combine like terms: 38 + -38 = 0
0 + -2x = -18 + -38
-2x = -18 + -38

Combine like terms: -18 + -38 = -56
-2x = -56

Divide each side by '-2'.
x = 28

Simplifying
x = 28

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