2(x-4)-(7x-9)+14=4

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Solution for 2(x-4)-(7x-9)+14=4 equation:


Simplifying
2(x + -4) + -1(7x + -9) + 14 = 4

Reorder the terms:
2(-4 + x) + -1(7x + -9) + 14 = 4
(-4 * 2 + x * 2) + -1(7x + -9) + 14 = 4
(-8 + 2x) + -1(7x + -9) + 14 = 4

Reorder the terms:
-8 + 2x + -1(-9 + 7x) + 14 = 4
-8 + 2x + (-9 * -1 + 7x * -1) + 14 = 4
-8 + 2x + (9 + -7x) + 14 = 4

Reorder the terms:
-8 + 9 + 14 + 2x + -7x = 4

Combine like terms: -8 + 9 = 1
1 + 14 + 2x + -7x = 4

Combine like terms: 1 + 14 = 15
15 + 2x + -7x = 4

Combine like terms: 2x + -7x = -5x
15 + -5x = 4

Solving
15 + -5x = 4

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + -5x = 4 + -15

Combine like terms: 15 + -15 = 0
0 + -5x = 4 + -15
-5x = 4 + -15

Combine like terms: 4 + -15 = -11
-5x = -11

Divide each side by '-5'.
x = 2.2

Simplifying
x = 2.2

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