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

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


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

Reorder the terms:
7(3 + 2x) = 10(x + -2)
(3 * 7 + 2x * 7) = 10(x + -2)
(21 + 14x) = 10(x + -2)

Reorder the terms:
21 + 14x = 10(-2 + x)
21 + 14x = (-2 * 10 + x * 10)
21 + 14x = (-20 + 10x)

Solving
21 + 14x = -20 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
21 + 14x + -10x = -20 + 10x + -10x

Combine like terms: 14x + -10x = 4x
21 + 4x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
21 + 4x = -20 + 0
21 + 4x = -20

Add '-21' to each side of the equation.
21 + -21 + 4x = -20 + -21

Combine like terms: 21 + -21 = 0
0 + 4x = -20 + -21
4x = -20 + -21

Combine like terms: -20 + -21 = -41
4x = -41

Divide each side by '4'.
x = -10.25

Simplifying
x = -10.25

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