7(4x-3)-9(2x+1)=2(x-9)

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Solution for 7(4x-3)-9(2x+1)=2(x-9) equation:


Simplifying
7(4x + -3) + -9(2x + 1) = 2(x + -9)

Reorder the terms:
7(-3 + 4x) + -9(2x + 1) = 2(x + -9)
(-3 * 7 + 4x * 7) + -9(2x + 1) = 2(x + -9)
(-21 + 28x) + -9(2x + 1) = 2(x + -9)

Reorder the terms:
-21 + 28x + -9(1 + 2x) = 2(x + -9)
-21 + 28x + (1 * -9 + 2x * -9) = 2(x + -9)
-21 + 28x + (-9 + -18x) = 2(x + -9)

Reorder the terms:
-21 + -9 + 28x + -18x = 2(x + -9)

Combine like terms: -21 + -9 = -30
-30 + 28x + -18x = 2(x + -9)

Combine like terms: 28x + -18x = 10x
-30 + 10x = 2(x + -9)

Reorder the terms:
-30 + 10x = 2(-9 + x)
-30 + 10x = (-9 * 2 + x * 2)
-30 + 10x = (-18 + 2x)

Solving
-30 + 10x = -18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-30 + 10x + -2x = -18 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-30 + 8x = -18 + 2x + -2x

Combine like terms: 2x + -2x = 0
-30 + 8x = -18 + 0
-30 + 8x = -18

Add '30' to each side of the equation.
-30 + 30 + 8x = -18 + 30

Combine like terms: -30 + 30 = 0
0 + 8x = -18 + 30
8x = -18 + 30

Combine like terms: -18 + 30 = 12
8x = 12

Divide each side by '8'.
x = 1.5

Simplifying
x = 1.5

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