-7(2x-3)+3=10-7(-2x-1)

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Solution for -7(2x-3)+3=10-7(-2x-1) equation:


Simplifying
-7(2x + -3) + 3 = 10 + -7(-2x + -1)

Reorder the terms:
-7(-3 + 2x) + 3 = 10 + -7(-2x + -1)
(-3 * -7 + 2x * -7) + 3 = 10 + -7(-2x + -1)
(21 + -14x) + 3 = 10 + -7(-2x + -1)

Reorder the terms:
21 + 3 + -14x = 10 + -7(-2x + -1)

Combine like terms: 21 + 3 = 24
24 + -14x = 10 + -7(-2x + -1)

Reorder the terms:
24 + -14x = 10 + -7(-1 + -2x)
24 + -14x = 10 + (-1 * -7 + -2x * -7)
24 + -14x = 10 + (7 + 14x)

Combine like terms: 10 + 7 = 17
24 + -14x = 17 + 14x

Solving
24 + -14x = 17 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
24 + -14x + -14x = 17 + 14x + -14x

Combine like terms: -14x + -14x = -28x
24 + -28x = 17 + 14x + -14x

Combine like terms: 14x + -14x = 0
24 + -28x = 17 + 0
24 + -28x = 17

Add '-24' to each side of the equation.
24 + -24 + -28x = 17 + -24

Combine like terms: 24 + -24 = 0
0 + -28x = 17 + -24
-28x = 17 + -24

Combine like terms: 17 + -24 = -7
-28x = -7

Divide each side by '-28'.
x = 0.25

Simplifying
x = 0.25

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