6-(3x+10)+4(2-x)=15

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Solution for 6-(3x+10)+4(2-x)=15 equation:


Simplifying
6 + -1(3x + 10) + 4(2 + -1x) = 15

Reorder the terms:
6 + -1(10 + 3x) + 4(2 + -1x) = 15
6 + (10 * -1 + 3x * -1) + 4(2 + -1x) = 15
6 + (-10 + -3x) + 4(2 + -1x) = 15
6 + -10 + -3x + (2 * 4 + -1x * 4) = 15
6 + -10 + -3x + (8 + -4x) = 15

Reorder the terms:
6 + -10 + 8 + -3x + -4x = 15

Combine like terms: 6 + -10 = -4
-4 + 8 + -3x + -4x = 15

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

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

Solving
4 + -7x = 15

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -7x = 15 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = 15 + -4
-7x = 15 + -4

Combine like terms: 15 + -4 = 11
-7x = 11

Divide each side by '-7'.
x = -1.571428571

Simplifying
x = -1.571428571

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