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

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


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

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

Reorder the terms:
-15 + 4x = 9(-3 + x) + 7
-15 + 4x = (-3 * 9 + x * 9) + 7
-15 + 4x = (-27 + 9x) + 7

Reorder the terms:
-15 + 4x = -27 + 7 + 9x

Combine like terms: -27 + 7 = -20
-15 + 4x = -20 + 9x

Solving
-15 + 4x = -20 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-15 + 4x + -9x = -20 + 9x + -9x

Combine like terms: 4x + -9x = -5x
-15 + -5x = -20 + 9x + -9x

Combine like terms: 9x + -9x = 0
-15 + -5x = -20 + 0
-15 + -5x = -20

Add '15' to each side of the equation.
-15 + 15 + -5x = -20 + 15

Combine like terms: -15 + 15 = 0
0 + -5x = -20 + 15
-5x = -20 + 15

Combine like terms: -20 + 15 = -5
-5x = -5

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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