4x+2(4x-9)=7x-15

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Solution for 4x+2(4x-9)=7x-15 equation:


Simplifying
4x + 2(4x + -9) = 7x + -15

Reorder the terms:
4x + 2(-9 + 4x) = 7x + -15
4x + (-9 * 2 + 4x * 2) = 7x + -15
4x + (-18 + 8x) = 7x + -15

Reorder the terms:
-18 + 4x + 8x = 7x + -15

Combine like terms: 4x + 8x = 12x
-18 + 12x = 7x + -15

Reorder the terms:
-18 + 12x = -15 + 7x

Solving
-18 + 12x = -15 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-18 + 12x + -7x = -15 + 7x + -7x

Combine like terms: 12x + -7x = 5x
-18 + 5x = -15 + 7x + -7x

Combine like terms: 7x + -7x = 0
-18 + 5x = -15 + 0
-18 + 5x = -15

Add '18' to each side of the equation.
-18 + 18 + 5x = -15 + 18

Combine like terms: -18 + 18 = 0
0 + 5x = -15 + 18
5x = -15 + 18

Combine like terms: -15 + 18 = 3
5x = 3

Divide each side by '5'.
x = 0.6

Simplifying
x = 0.6

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