5x-7+2x=4(4x-3)+2

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Solution for 5x-7+2x=4(4x-3)+2 equation:


Simplifying
5x + -7 + 2x = 4(4x + -3) + 2

Reorder the terms:
-7 + 5x + 2x = 4(4x + -3) + 2

Combine like terms: 5x + 2x = 7x
-7 + 7x = 4(4x + -3) + 2

Reorder the terms:
-7 + 7x = 4(-3 + 4x) + 2
-7 + 7x = (-3 * 4 + 4x * 4) + 2
-7 + 7x = (-12 + 16x) + 2

Reorder the terms:
-7 + 7x = -12 + 2 + 16x

Combine like terms: -12 + 2 = -10
-7 + 7x = -10 + 16x

Solving
-7 + 7x = -10 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-7 + 7x + -16x = -10 + 16x + -16x

Combine like terms: 7x + -16x = -9x
-7 + -9x = -10 + 16x + -16x

Combine like terms: 16x + -16x = 0
-7 + -9x = -10 + 0
-7 + -9x = -10

Add '7' to each side of the equation.
-7 + 7 + -9x = -10 + 7

Combine like terms: -7 + 7 = 0
0 + -9x = -10 + 7
-9x = -10 + 7

Combine like terms: -10 + 7 = -3
-9x = -3

Divide each side by '-9'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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