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

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


Simplifying
15 + -4(3 + -1x) = 10 + -6(4 + x)
15 + (3 * -4 + -1x * -4) = 10 + -6(4 + x)
15 + (-12 + 4x) = 10 + -6(4 + x)

Combine like terms: 15 + -12 = 3
3 + 4x = 10 + -6(4 + x)
3 + 4x = 10 + (4 * -6 + x * -6)
3 + 4x = 10 + (-24 + -6x)

Combine like terms: 10 + -24 = -14
3 + 4x = -14 + -6x

Solving
3 + 4x = -14 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
3 + 4x + 6x = -14 + -6x + 6x

Combine like terms: 4x + 6x = 10x
3 + 10x = -14 + -6x + 6x

Combine like terms: -6x + 6x = 0
3 + 10x = -14 + 0
3 + 10x = -14

Add '-3' to each side of the equation.
3 + -3 + 10x = -14 + -3

Combine like terms: 3 + -3 = 0
0 + 10x = -14 + -3
10x = -14 + -3

Combine like terms: -14 + -3 = -17
10x = -17

Divide each side by '10'.
x = -1.7

Simplifying
x = -1.7

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