9x-4(x-3)=15x+7

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Solution for 9x-4(x-3)=15x+7 equation:


Simplifying
9x + -4(x + -3) = 15x + 7

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

Reorder the terms:
12 + 9x + -4x = 15x + 7

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

Reorder the terms:
12 + 5x = 7 + 15x

Solving
12 + 5x = 7 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
12 + 5x + -15x = 7 + 15x + -15x

Combine like terms: 5x + -15x = -10x
12 + -10x = 7 + 15x + -15x

Combine like terms: 15x + -15x = 0
12 + -10x = 7 + 0
12 + -10x = 7

Add '-12' to each side of the equation.
12 + -12 + -10x = 7 + -12

Combine like terms: 12 + -12 = 0
0 + -10x = 7 + -12
-10x = 7 + -12

Combine like terms: 7 + -12 = -5
-10x = -5

Divide each side by '-10'.
x = 0.5

Simplifying
x = 0.5

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