3+7(6x+5)=-3-6(7x-4)

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Solution for 3+7(6x+5)=-3-6(7x-4) equation:


Simplifying
3 + 7(6x + 5) = -3 + -6(7x + -4)

Reorder the terms:
3 + 7(5 + 6x) = -3 + -6(7x + -4)
3 + (5 * 7 + 6x * 7) = -3 + -6(7x + -4)
3 + (35 + 42x) = -3 + -6(7x + -4)

Combine like terms: 3 + 35 = 38
38 + 42x = -3 + -6(7x + -4)

Reorder the terms:
38 + 42x = -3 + -6(-4 + 7x)
38 + 42x = -3 + (-4 * -6 + 7x * -6)
38 + 42x = -3 + (24 + -42x)

Combine like terms: -3 + 24 = 21
38 + 42x = 21 + -42x

Solving
38 + 42x = 21 + -42x

Solving for variable 'x'.

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

Add '42x' to each side of the equation.
38 + 42x + 42x = 21 + -42x + 42x

Combine like terms: 42x + 42x = 84x
38 + 84x = 21 + -42x + 42x

Combine like terms: -42x + 42x = 0
38 + 84x = 21 + 0
38 + 84x = 21

Add '-38' to each side of the equation.
38 + -38 + 84x = 21 + -38

Combine like terms: 38 + -38 = 0
0 + 84x = 21 + -38
84x = 21 + -38

Combine like terms: 21 + -38 = -17
84x = -17

Divide each side by '84'.
x = -0.2023809524

Simplifying
x = -0.2023809524

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