3+5x-7-9x+10+4(2x-3)=12-15

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Solution for 3+5x-7-9x+10+4(2x-3)=12-15 equation:


Simplifying
3 + 5x + -7 + -9x + 10 + 4(2x + -3) = 12 + -15

Reorder the terms:
3 + 5x + -7 + -9x + 10 + 4(-3 + 2x) = 12 + -15
3 + 5x + -7 + -9x + 10 + (-3 * 4 + 2x * 4) = 12 + -15
3 + 5x + -7 + -9x + 10 + (-12 + 8x) = 12 + -15

Reorder the terms:
3 + -7 + 10 + -12 + 5x + -9x + 8x = 12 + -15

Combine like terms: 3 + -7 = -4
-4 + 10 + -12 + 5x + -9x + 8x = 12 + -15

Combine like terms: -4 + 10 = 6
6 + -12 + 5x + -9x + 8x = 12 + -15

Combine like terms: 6 + -12 = -6
-6 + 5x + -9x + 8x = 12 + -15

Combine like terms: 5x + -9x = -4x
-6 + -4x + 8x = 12 + -15

Combine like terms: -4x + 8x = 4x
-6 + 4x = 12 + -15

Combine like terms: 12 + -15 = -3
-6 + 4x = -3

Solving
-6 + 4x = -3

Solving for variable 'x'.

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

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

Combine like terms: -6 + 6 = 0
0 + 4x = -3 + 6
4x = -3 + 6

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

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75

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