-2(7x-2)+9x=4+2(5x-9)

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Solution for -2(7x-2)+9x=4+2(5x-9) equation:


Simplifying
-2(7x + -2) + 9x = 4 + 2(5x + -9)

Reorder the terms:
-2(-2 + 7x) + 9x = 4 + 2(5x + -9)
(-2 * -2 + 7x * -2) + 9x = 4 + 2(5x + -9)
(4 + -14x) + 9x = 4 + 2(5x + -9)

Combine like terms: -14x + 9x = -5x
4 + -5x = 4 + 2(5x + -9)

Reorder the terms:
4 + -5x = 4 + 2(-9 + 5x)
4 + -5x = 4 + (-9 * 2 + 5x * 2)
4 + -5x = 4 + (-18 + 10x)

Combine like terms: 4 + -18 = -14
4 + -5x = -14 + 10x

Solving
4 + -5x = -14 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
4 + -5x + -10x = -14 + 10x + -10x

Combine like terms: -5x + -10x = -15x
4 + -15x = -14 + 10x + -10x

Combine like terms: 10x + -10x = 0
4 + -15x = -14 + 0
4 + -15x = -14

Add '-4' to each side of the equation.
4 + -4 + -15x = -14 + -4

Combine like terms: 4 + -4 = 0
0 + -15x = -14 + -4
-15x = -14 + -4

Combine like terms: -14 + -4 = -18
-15x = -18

Divide each side by '-15'.
x = 1.2

Simplifying
x = 1.2

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