Solve and verify 3/4x+4x=7/8+6x-6
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Step-by-step explanation:
3/4x + 4x = 7/8 + 6x – 6 Let us rearrange the equation 3/4x + 4x – 6x = 7/8 – 6 By taking 4 and 8 as LCM (3x + 16x – 24x)/4 = (7 – 48)/8 -5x/4 = -41/8 By cross-multiplying -5x(8) = -41(4) -40x = -164 x = -164/-40 = 82/20 = 41/10 Let us verify the given equation now, 3/4x + 4x = 7/8 + 6x – 6 By substituting the value of ‘x’ we get, (3/4)(41/10) + 4(41/10) = 7/8 + 6(41/10) – 6 123/40 + 164/10 = 7/8 + 246/10 – 6 (123 + 656)/40 = (70 + 1968 – 480)/80 779/40 = 1558/80 779/40 = 779/40 Hence, the given equation is verified
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