7(x+3)=10(x-0.9)

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Solution for 7(x+3)=10(x-0.9) equation:


Simplifying
7(x + 3) = 10(x + -0.9)

Reorder the terms:
7(3 + x) = 10(x + -0.9)
(3 * 7 + x * 7) = 10(x + -0.9)
(21 + 7x) = 10(x + -0.9)

Reorder the terms:
21 + 7x = 10(-0.9 + x)
21 + 7x = (-0.9 * 10 + x * 10)
21 + 7x = (-9 + 10x)

Solving
21 + 7x = -9 + 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 + 7x + -10x = -9 + 10x + -10x

Combine like terms: 7x + -10x = -3x
21 + -3x = -9 + 10x + -10x

Combine like terms: 10x + -10x = 0
21 + -3x = -9 + 0
21 + -3x = -9

Add '-21' to each side of the equation.
21 + -21 + -3x = -9 + -21

Combine like terms: 21 + -21 = 0
0 + -3x = -9 + -21
-3x = -9 + -21

Combine like terms: -9 + -21 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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