(-3x+10)+4(2-x)=15

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Solution for (-3x+10)+4(2-x)=15 equation:


Simplifying
(-3x + 10) + 4(2 + -1x) = 15

Reorder the terms:
(10 + -3x) + 4(2 + -1x) = 15

Remove parenthesis around (10 + -3x)
10 + -3x + 4(2 + -1x) = 15
10 + -3x + (2 * 4 + -1x * 4) = 15
10 + -3x + (8 + -4x) = 15

Reorder the terms:
10 + 8 + -3x + -4x = 15

Combine like terms: 10 + 8 = 18
18 + -3x + -4x = 15

Combine like terms: -3x + -4x = -7x
18 + -7x = 15

Solving
18 + -7x = 15

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + -7x = 15 + -18

Combine like terms: 18 + -18 = 0
0 + -7x = 15 + -18
-7x = 15 + -18

Combine like terms: 15 + -18 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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