4x(-3)+10=7x(-3)+16

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Solution for 4x(-3)+10=7x(-3)+16 equation:


Simplifying
4x(-3) + 10 = 7x(-3) + 16

Reorder the terms for easier multiplication:
4 * -3x + 10 = 7x(-3) + 16

Multiply 4 * -3
-12x + 10 = 7x(-3) + 16

Reorder the terms:
10 + -12x = 7x(-3) + 16

Reorder the terms for easier multiplication:
10 + -12x = 7 * -3x + 16

Multiply 7 * -3
10 + -12x = -21x + 16

Reorder the terms:
10 + -12x = 16 + -21x

Solving
10 + -12x = 16 + -21x

Solving for variable 'x'.

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

Add '21x' to each side of the equation.
10 + -12x + 21x = 16 + -21x + 21x

Combine like terms: -12x + 21x = 9x
10 + 9x = 16 + -21x + 21x

Combine like terms: -21x + 21x = 0
10 + 9x = 16 + 0
10 + 9x = 16

Add '-10' to each side of the equation.
10 + -10 + 9x = 16 + -10

Combine like terms: 10 + -10 = 0
0 + 9x = 16 + -10
9x = 16 + -10

Combine like terms: 16 + -10 = 6
9x = 6

Divide each side by '9'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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