2(5x-3)+4=8x-7

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Solution for 2(5x-3)+4=8x-7 equation:


Simplifying
2(5x + -3) + 4 = 8x + -7

Reorder the terms:
2(-3 + 5x) + 4 = 8x + -7
(-3 * 2 + 5x * 2) + 4 = 8x + -7
(-6 + 10x) + 4 = 8x + -7

Reorder the terms:
-6 + 4 + 10x = 8x + -7

Combine like terms: -6 + 4 = -2
-2 + 10x = 8x + -7

Reorder the terms:
-2 + 10x = -7 + 8x

Solving
-2 + 10x = -7 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-2 + 10x + -8x = -7 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-2 + 2x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
-2 + 2x = -7 + 0
-2 + 2x = -7

Add '2' to each side of the equation.
-2 + 2 + 2x = -7 + 2

Combine like terms: -2 + 2 = 0
0 + 2x = -7 + 2
2x = -7 + 2

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

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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